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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws_opaque | val lemma_ws_computed_is_ws_opaque (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (vv (ws_computed b t) == ws_opaque b t) | val lemma_ws_computed_is_ws_opaque (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (vv (ws_computed b t) == ws_opaque b t) | let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 518,
"start_col": 0,
"start_line": 513
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.SHA.SHA_helpers.block_w ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256}
-> FStar.Pervasives.Lemma
(ensures
Vale.SHA.SHA_helpers.vv (Vale.SHA.SHA_helpers.ws_computed b t) ==
Vale.SHA.SHA_helpers.ws_opaque b t) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.unit",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.SHA2.block_w",
"Spec.SHA2.counter",
"Spec.SHA2.size_k_w",
"Spec.Hash.Definitions.word",
"Spec.SHA2.Lemmas.ws",
"Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws",
"Prims.l_True",
"Prims.squash",
"Prims.eq2",
"Vale.Def.Words_s.nat32",
"Vale.SHA.SHA_helpers.vv",
"Vale.SHA.SHA_helpers.ws_computed",
"Vale.SHA.SHA_helpers.ws_opaque",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_ws_computed_is_ws_opaque (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (vv (ws_computed b t) == ws_opaque b t) =
| lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.ws_computed | val ws_computed (b: block_w) (t: counter{t < size_k_w_256}) : Tot (UInt32.t) | val ws_computed (b: block_w) (t: counter{t < size_k_w_256}) : Tot (UInt32.t) | let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1) | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 27,
"end_line": 490,
"start_col": 0,
"start_line": 480
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
} | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.SHA.SHA_helpers.block_w ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256}
-> FStar.UInt32.t | Prims.Tot | [
"total"
] | [] | [
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Spec.Hash.Definitions.block_word_length",
"Spec.Hash.Definitions.SHA2_256",
"Vale.SHA.SHA_helpers.to_uint32",
"Vale.SHA.SHA_helpers.ws_opaque",
"Prims.bool",
"Lib.IntTypes.op_Plus_Dot",
"Lib.IntTypes.U32",
"Lib.IntTypes.SEC",
"Spec.Hash.Definitions.word",
"Spec.SHA2._sigma0",
"Spec.SHA2._sigma1",
"Lib.IntTypes.int_t",
"Prims.op_Subtraction",
"FStar.UInt32.t"
] | [] | false | false | false | false | false | let ws_computed (b: block_w) (t: counter{t < size_k_w_256}) : Tot (UInt32.t) =
| if t < block_word_length SHA2_256
then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in (t16 +. s0 +. t7 +. s1) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws_quad32 | val lemma_ws_computed_is_ws_quad32 (b: block_w) (t: counter{t < size_k_w_256 - 3})
: Lemma (ws_computed_quad32 t b == ws_quad32 t b) | val lemma_ws_computed_is_ws_quad32 (b: block_w) (t: counter{t < size_k_w_256 - 3})
: Lemma (ws_computed_quad32 t b == ws_quad32 t b) | let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 535,
"start_col": 0,
"start_line": 526
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3))) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.SHA.SHA_helpers.block_w ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256 - 3}
-> FStar.Pervasives.Lemma
(ensures Vale.SHA.SHA_helpers.ws_computed_quad32 t b == Vale.SHA.SHA_helpers.ws_quad32 t b) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.op_Subtraction",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.unit",
"Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws_opaque",
"Prims.op_Addition",
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.ws_quad32",
"Vale.SHA.SHA_helpers.ws_computed_quad32",
"Prims.l_True",
"Prims.squash",
"Prims.eq2",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_ws_computed_is_ws_quad32 (b: block_w) (t: counter{t < size_k_w_256 - 3})
: Lemma (ws_computed_quad32 t b == ws_quad32 t b) =
| let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t + 1);
lemma_ws_computed_is_ws_opaque b (t + 2);
lemma_ws_computed_is_ws_opaque b (t + 3);
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.shuffle_core_properties | val shuffle_core_properties (block: block_w) (hash: hash256) (t: counter{t < size_k_w_256})
: Lemma
(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[ 0 ] in
let b0 = hash.[ 1 ] in
let c0 = hash.[ 2 ] in
let d0 = hash.[ 3 ] in
let e0 = hash.[ 4 ] in
let f0 = hash.[ 5 ] in
let g0 = hash.[ 6 ] in
let h0 = hash.[ 7 ] in
let t1 =
h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[ t ] +.
(ws SHA2_256 block t)
in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[ 0 ] == t1 +. t2 /\ h.[ 1 ] == a0 /\ h.[ 2 ] == b0 /\ h.[ 3 ] == c0 /\ h.[ 4 ] == d0 +. t1 /\
h.[ 5 ] == e0 /\ h.[ 6 ] == f0 /\ h.[ 7 ] == g0) | val shuffle_core_properties (block: block_w) (hash: hash256) (t: counter{t < size_k_w_256})
: Lemma
(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[ 0 ] in
let b0 = hash.[ 1 ] in
let c0 = hash.[ 2 ] in
let d0 = hash.[ 3 ] in
let e0 = hash.[ 4 ] in
let f0 = hash.[ 5 ] in
let g0 = hash.[ 6 ] in
let h0 = hash.[ 7 ] in
let t1 =
h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[ t ] +.
(ws SHA2_256 block t)
in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[ 0 ] == t1 +. t2 /\ h.[ 1 ] == a0 /\ h.[ 2 ] == b0 /\ h.[ 3 ] == c0 /\ h.[ 4 ] == d0 +. t1 /\
h.[ 5 ] == e0 /\ h.[ 6 ] == f0 /\ h.[ 7 ] == g0) | let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 157,
"start_col": 0,
"start_line": 120
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
block: Vale.SHA.SHA_helpers.block_w ->
hash: Vale.SHA.SHA_helpers.hash256 ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256}
-> FStar.Pervasives.Lemma
(ensures
(let h = Vale.SHA.SHA_helpers.shuffle_core_opaque block hash t in
let a0 = hash.[ 0 ] in
let b0 = hash.[ 1 ] in
let c0 = hash.[ 2 ] in
let d0 = hash.[ 3 ] in
let e0 = hash.[ 4 ] in
let f0 = hash.[ 5 ] in
let g0 = hash.[ 6 ] in
let h0 = hash.[ 7 ] in
let t1 =
h0 +. Spec.SHA2._Sigma1 Spec.Hash.Definitions.SHA2_256 e0 +.
Spec.SHA2._Ch Spec.Hash.Definitions.SHA2_256 e0 f0 g0 +.
(Spec.SHA2.k0 Spec.Hash.Definitions.SHA2_256).[ t ] +.
Spec.SHA2.Lemmas.ws Spec.Hash.Definitions.SHA2_256 block t
in
let t2 =
Spec.SHA2._Sigma0 Spec.Hash.Definitions.SHA2_256 a0 +.
Spec.SHA2._Maj Spec.Hash.Definitions.SHA2_256 a0 b0 c0
in
h.[ 0 ] == t1 +. t2 /\ h.[ 1 ] == a0 /\ h.[ 2 ] == b0 /\ h.[ 3 ] == c0 /\
h.[ 4 ] == d0 +. t1 /\ h.[ 5 ] == e0 /\ h.[ 6 ] == f0 /\ h.[ 7 ] == g0)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.unit",
"FStar.Seq.Properties.elim_of_list",
"FStar.UInt32.t",
"Prims._assert",
"Prims.eq2",
"FStar.Seq.Base.seq",
"Prims.l_or",
"Prims.nat",
"FStar.List.Tot.Base.length",
"FStar.Seq.Base.length",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.SHA2_256",
"Spec.Hash.Definitions.state_word_length",
"FStar.Seq.Base.seq_of_list",
"Prims.list",
"Prims.Cons",
"Spec.SHA2.op_Plus_Dot",
"Prims.Nil",
"Spec.SHA2._Sigma0",
"Spec.SHA2._Maj",
"Spec.SHA2._Sigma1",
"Spec.SHA2._Ch",
"Spec.SHA2.op_String_Access",
"Spec.SHA2.k0",
"Spec.SHA2.Lemmas.ws",
"Vale.SHA.SHA_helpers.word",
"Spec.Hash.Definitions.words_state",
"Spec.SHA2.Lemmas.shuffle_core",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.SHA2.block_w",
"Spec.SHA2.counter",
"Spec.SHA2.size_k_w",
"Prims.l_True",
"Prims.squash",
"Prims.l_and",
"Lib.IntTypes.int_t",
"Lib.IntTypes.U32",
"Lib.IntTypes.SEC",
"Lib.IntTypes.op_Plus_Dot",
"Vale.SHA.SHA_helpers.shuffle_core_opaque",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let shuffle_core_properties (block: block_w) (hash: hash256) (t: counter{t < size_k_w_256})
: Lemma
(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[ 0 ] in
let b0 = hash.[ 1 ] in
let c0 = hash.[ 2 ] in
let d0 = hash.[ 3 ] in
let e0 = hash.[ 4 ] in
let f0 = hash.[ 5 ] in
let g0 = hash.[ 6 ] in
let h0 = hash.[ 7 ] in
let t1 =
h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[ t ] +.
(ws SHA2_256 block t)
in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[ 0 ] == t1 +. t2 /\ h.[ 1 ] == a0 /\ h.[ 2 ] == b0 /\ h.[ 3 ] == c0 /\ h.[ 4 ] == d0 +. t1 /\
h.[ 5 ] == e0 /\ h.[ 6 ] == f0 /\ h.[ 7 ] == g0) =
| Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[ 0 ] in
let b0 = hash.[ 1 ] in
let c0 = hash.[ 2 ] in
let d0 = hash.[ 3 ] in
let e0 = hash.[ 4 ] in
let f0 = hash.[ 5 ] in
let g0 = hash.[ 6 ] in
let h0 = hash.[ 7 ] in
let t1 =
h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[ t ] +.
(ws SHA2_256 block t)
in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0] in
assert (h == seq_of_list l);
elim_of_list l;
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_sha256_rnds2_two_steps | val lemma_sha256_rnds2_two_steps (abef cdgh xmm0: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t + 1 < size_k_w_256 /\ xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[ t ]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[ t + 1 ]) (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef)) | val lemma_sha256_rnds2_two_steps (abef cdgh xmm0: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t + 1 < size_k_w_256 /\ xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[ t ]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[ t + 1 ]) (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef)) | let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 390,
"start_col": 0,
"start_line": 374
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
abef: Vale.Def.Types_s.quad32 ->
cdgh: Vale.Def.Types_s.quad32 ->
xmm0: Vale.Def.Types_s.quad32 ->
t: Vale.SHA.SHA_helpers.counter ->
block: Vale.SHA.SHA_helpers.block_w
-> FStar.Pervasives.Lemma
(requires
t + 1 < Vale.SHA.SHA_helpers.size_k_w_256 /\
Mkfour?.lo0 xmm0 ==
Vale.Def.Types_s.add_wrap (Vale.SHA.SHA_helpers.vv (Spec.SHA2.k0 Spec.Hash.Definitions.SHA2_256
).[ t ])
(Vale.SHA.SHA_helpers.ws_opaque block t) /\
Mkfour?.lo1 xmm0 ==
Vale.Def.Types_s.add_wrap (Vale.SHA.SHA_helpers.vv (Spec.SHA2.k0 Spec.Hash.Definitions.SHA2_256
).[ t + 1 ])
(Vale.SHA.SHA_helpers.ws_opaque block (t + 1)))
(ensures
(let hash0 = Vale.SHA.SHA_helpers.make_hash abef cdgh in
let hash1 = Vale.SHA.SHA_helpers.shuffle_core_opaque block hash0 t in
let hash2 = Vale.SHA.SHA_helpers.shuffle_core_opaque block hash1 (t + 1) in
hash2 ==
Vale.SHA.SHA_helpers.make_hash (Vale.X64.CryptoInstructions_s.sha256_rnds2_spec cdgh
abef
xmm0)
abef)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.counter",
"Vale.SHA.SHA_helpers.block_w",
"Prims.unit",
"Vale.SHA.SHA_helpers.lemma_sha256_rnds2_spec_quad32",
"Vale.SHA.SHA_helpers.sha256_rnds2_spec_quad32_is_shuffle_core_x2",
"Vale.SHA.SHA_helpers.lemma_add_wrap_is_add_mod",
"Vale.SHA.SHA_helpers.vv",
"Spec.SHA2.op_String_Access",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.SHA2_256",
"Spec.SHA2.k0",
"Prims.op_Addition",
"Vale.SHA.SHA_helpers.ws_opaque",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.shuffle_core_opaque",
"Vale.SHA.SHA_helpers.make_hash",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.eq2",
"Vale.Def.Words_s.natN",
"Vale.Def.Words_s.pow2_32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Types_s.nat32",
"Vale.Def.Types_s.add_wrap",
"Vale.Def.Words_s.__proj__Mkfour__item__lo1",
"Prims.squash",
"Vale.X64.CryptoInstructions_s.sha256_rnds2_spec",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_sha256_rnds2_two_steps (abef cdgh xmm0: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t + 1 < size_k_w_256 /\ xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[ t ]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[ t + 1 ]) (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef)) =
| let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[ t ]) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[ t + 1 ]) (ws_opaque block (t + 1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.sha256_msg1_spec_t | val sha256_msg1_spec_t (t: counter{t < size_k_w_256 - 1}) (block: block_w) : quad32 | val sha256_msg1_spec_t (t: counter{t < size_k_w_256 - 1}) (block: block_w) : quad32 | let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1 | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 6,
"end_line": 555,
"start_col": 0,
"start_line": 551
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256 - 1} ->
block: Vale.SHA.SHA_helpers.block_w
-> Vale.Def.Types_s.quad32 | Prims.Tot | [
"total"
] | [] | [
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.op_Subtraction",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Vale.SHA.SHA_helpers.block_w",
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.add_mod_quad32",
"Vale.SHA.SHA_helpers._sigma0_quad32",
"Vale.SHA.SHA_helpers.ws_quad32",
"Prims.op_Addition"
] | [] | false | false | false | false | false | let sha256_msg1_spec_t (t: counter{t < size_k_w_256 - 1}) (block: block_w) : quad32 =
| let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1 | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_sha256_msg2 | val lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block) | val lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block) | let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 617,
"start_col": 0,
"start_line": 600
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
src1: Vale.Def.Types_s.quad32 ->
src2: Vale.Def.Types_s.quad32 ->
t: Vale.SHA.SHA_helpers.counter ->
block: Vale.SHA.SHA_helpers.block_w
-> FStar.Pervasives.Lemma
(requires
16 <= t /\ t < Vale.SHA.SHA_helpers.size_k_w_256 - 3 /\
(let step1 = Vale.SHA.SHA_helpers.ws_partial t block in
let t_minus_7 = Vale.SHA.SHA_helpers.ws_quad32 (t - 7) block in
src1 == Vale.Arch.Types.add_wrap_quad32 step1 t_minus_7 /\
Mkfour?.hi2 src2 == Vale.SHA.SHA_helpers.ws_opaque block (t - 2) /\
Mkfour?.hi3 src2 == Vale.SHA.SHA_helpers.ws_opaque block (t - 1)))
(ensures
Vale.X64.CryptoInstructions_s.sha256_msg2_spec src1 src2 ==
Vale.SHA.SHA_helpers.ws_quad32 t block) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.counter",
"Vale.SHA.SHA_helpers.block_w",
"Prims.unit",
"Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws_quad32",
"Vale.SHA.SHA_helpers.lemma_sha256_step2",
"Vale.SHA.SHA_helpers.lemma_add_wrap_quad32_is_add_mod_quad32",
"Vale.SHA.SHA_helpers.lemma_sha256_msg1_spec_t_partial",
"Vale.SHA.SHA_helpers.ws_quad32",
"Prims.op_Subtraction",
"Vale.SHA.SHA_helpers.ws_partial",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.op_LessThan",
"Spec.SHA2.size_k_w",
"Spec.Hash.Definitions.SHA2_256",
"Prims.eq2",
"Vale.Arch.Types.add_wrap_quad32",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.__proj__Mkfour__item__hi2",
"Vale.Def.Types_s.nat32",
"Vale.SHA.SHA_helpers.ws_opaque",
"Vale.Def.Words_s.__proj__Mkfour__item__hi3",
"Prims.squash",
"Vale.X64.CryptoInstructions_s.sha256_msg2_spec",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_sha256_msg2 (src1 src2: quad32) (t: counter) (block: block_w)
: Lemma
(requires
16 <= t /\ t < size_k_w (SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t - 7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\ src2.hi2 == ws_opaque block (t - 2) /\
src2.hi3 == ws_opaque block (t - 1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block) =
| let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t - 7) block in
lemma_sha256_msg1_spec_t_partial t block;
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_sha256_msg1_spec_t | val lemma_sha256_msg1_spec_t (src1 src2: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t < size_k_w_256 - 4 /\ src1 == ws_quad32 t block /\ src2.lo0 == ws_opaque block (t + 4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2) | val lemma_sha256_msg1_spec_t (src1 src2: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t < size_k_w_256 - 4 /\ src1 == ws_quad32 t block /\ src2.lo0 == ws_opaque block (t + 4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2) | let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 578,
"start_col": 0,
"start_line": 571
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
src1: Vale.Def.Types_s.quad32 ->
src2: Vale.Def.Types_s.quad32 ->
t: Vale.SHA.SHA_helpers.counter ->
block: Vale.SHA.SHA_helpers.block_w
-> FStar.Pervasives.Lemma
(requires
t < Vale.SHA.SHA_helpers.size_k_w_256 - 4 /\ src1 == Vale.SHA.SHA_helpers.ws_quad32 t block /\
Mkfour?.lo0 src2 == Vale.SHA.SHA_helpers.ws_opaque block (t + 4))
(ensures
Vale.SHA.SHA_helpers.sha256_msg1_spec_t t block ==
Vale.X64.CryptoInstructions_s.sha256_msg1_spec src1 src2) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.counter",
"Vale.SHA.SHA_helpers.block_w",
"Prims.unit",
"Vale.X64.CryptoInstructions_s.sha256_msg1_spec_reveal",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.op_Subtraction",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.eq2",
"Vale.SHA.SHA_helpers.ws_quad32",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Types_s.nat32",
"Vale.SHA.SHA_helpers.ws_opaque",
"Prims.op_Addition",
"Prims.squash",
"Vale.SHA.SHA_helpers.sha256_msg1_spec_t",
"Vale.X64.CryptoInstructions_s.sha256_msg1_spec",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_sha256_msg1_spec_t (src1 src2: quad32) (t: counter) (block: block_w)
: Lemma
(requires
t < size_k_w_256 - 4 /\ src1 == ws_quad32 t block /\ src2.lo0 == ws_opaque block (t + 4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2) =
| sha256_msg1_spec_reveal ();
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_slice_commutes_reverse_bytes_nat32_quad32_seq | val lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s: seq quad32) (pivot: nat)
: Lemma (requires pivot <= length s)
(ensures
slice (reverse_bytes_nat32_quad32_seq s) 0 pivot ==
reverse_bytes_nat32_quad32_seq (slice s 0 pivot)) | val lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s: seq quad32) (pivot: nat)
: Lemma (requires pivot <= length s)
(ensures
slice (reverse_bytes_nat32_quad32_seq s) 0 pivot ==
reverse_bytes_nat32_quad32_seq (slice s 0 pivot)) | let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
) | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 3,
"end_line": 741,
"start_col": 0,
"start_line": 726
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> pivot: Prims.nat
-> FStar.Pervasives.Lemma (requires pivot <= FStar.Seq.Base.length s)
(ensures
FStar.Seq.Base.slice (Vale.Arch.Types.reverse_bytes_nat32_quad32_seq s) 0 pivot ==
Vale.Arch.Types.reverse_bytes_nat32_quad32_seq (FStar.Seq.Base.slice s 0 pivot)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Prims.nat",
"Prims.op_Equality",
"Prims.int",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"FStar.Seq.Base.empty",
"Vale.Arch.Types.reverse_bytes_nat32_quad32_seq",
"Prims.bool",
"FStar.Seq.Base.slice",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"FStar.Seq.Base.length",
"Prims.squash",
"Prims.eq2",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s: seq quad32) (pivot: nat)
: Lemma (requires pivot <= length s)
(ensures
slice (reverse_bytes_nat32_quad32_seq s) 0 pivot ==
reverse_bytes_nat32_quad32_seq (slice s 0 pivot)) =
| let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0
then
(assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
())
else (assert (equal srs rss)) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_update_block_equiv | val lemma_update_block_equiv (hash: hash256) (block: bytes{length block = block_length})
: Lemma
(update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) ==
update SHA2_256 hash block) | val lemma_update_block_equiv (hash: hash256) (block: bytes{length block = block_length})
: Lemma
(update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) ==
update SHA2_256 hash block) | let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 663,
"start_col": 0,
"start_line": 657
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1 | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3",
"smt.arith.nl=true"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
hash: Vale.SHA.SHA_helpers.hash256 ->
block:
Vale.SHA.SHA_helpers.bytes{FStar.Seq.Base.length block = Vale.SHA.SHA_helpers.block_length}
-> FStar.Pervasives.Lemma
(ensures
Vale.SHA.SHA_helpers.update_block hash
(Spec.Hash.Definitions.words_of_bytes Spec.Hash.Definitions.SHA2_256 block) ==
Spec.Agile.Hash.update Spec.Hash.Definitions.SHA2_256 hash block) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.bytes",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"FStar.Seq.Base.length",
"Vale.SHA.SHA_helpers.byte",
"Vale.SHA.SHA_helpers.block_length",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.SHA.SHA_helpers.word",
"Vale.SHA.SHA_helpers.update_block",
"Spec.Hash.Definitions.words_of_bytes",
"Spec.Hash.Definitions.SHA2_256",
"Spec.Hash.Definitions.block_word_length",
"Spec.Agile.Hash.update",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.Hash.Definitions.words_state",
"Spec.SHA2.block_w",
"Spec.SHA2.shuffle",
"Spec.Hash.Definitions.update_t",
"Spec.SHA2.update",
"Prims.l_True",
"Prims.squash",
"Prims.eq2",
"FStar.Seq.Base.seq",
"Prims.l_or",
"Prims.nat",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.state_word_length",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_update_block_equiv (hash: hash256) (block: bytes{length block = block_length})
: Lemma
(update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) ==
update SHA2_256 hash block) =
| Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block))
(update SHA2_256 hash block));
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.update_block | val update_block (hash:hash256) (block:block_w): hash256 | val update_block (hash:hash256) (block:block_w): hash256 | let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1 | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 40,
"end_line": 654,
"start_col": 0,
"start_line": 651
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | hash: Vale.SHA.SHA_helpers.hash256 -> block: Vale.SHA.SHA_helpers.block_w
-> Vale.SHA.SHA_helpers.hash256 | Prims.Tot | [
"total"
] | [] | [
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.block_w",
"Spec.Loops.seq_map2",
"Vale.SHA.SHA_helpers.word",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.SHA2_256",
"Lib.IntTypes.op_Plus_Dot",
"Lib.IntTypes.U32",
"Lib.IntTypes.SEC",
"Spec.Hash.Definitions.words_state",
"Vale.SHA.SHA_helpers.shuffle_opaque"
] | [] | false | false | false | true | false | let update_block (hash: hash256) (block: block_w) : Tot (hash256) =
| let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in Spec.Loops.seq_map2 ( +. ) hash hash_1 | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way | val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code | val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code | let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ()))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 26,
"end_line": 47,
"start_col": 0,
"start_line": 40
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_MulAdd_unroll_1way () =
| (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret)
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 6))
(va_CNil ()))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_MulAdd_unroll_1way | val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool | val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool | let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 67,
"end_line": 58,
"start_col": 0,
"start_line": 51
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulHigh",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_MulAdd_unroll_1way () =
| (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret)
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 7))
(va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 6))
(va_ttrue ())))))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_quads_to_block | val lemma_quads_to_block (qs:seq quad32) : Lemma
(requires length qs == 4)
(ensures
(let block = quads_to_block qs in
forall i . {:pattern (index qs i)} 0 <= i /\ i < 4 ==>
(qs.[i]).lo0 == ws_opaque block (4 * i + 0) /\
(qs.[i]).lo1 == ws_opaque block (4 * i + 1) /\
(qs.[i]).hi2 == ws_opaque block (4 * i + 2) /\
(qs.[i]).hi3 == ws_opaque block (4 * i + 3) /\
qs.[i] == ws_quad32 (4 * i) block)) | val lemma_quads_to_block (qs:seq quad32) : Lemma
(requires length qs == 4)
(ensures
(let block = quads_to_block qs in
forall i . {:pattern (index qs i)} 0 <= i /\ i < 4 ==>
(qs.[i]).lo0 == ws_opaque block (4 * i + 0) /\
(qs.[i]).lo1 == ws_opaque block (4 * i + 1) /\
(qs.[i]).hi2 == ws_opaque block (4 * i + 2) /\
(qs.[i]).hi3 == ws_opaque block (4 * i + 3) /\
qs.[i] == ws_quad32 (4 * i) block)) | let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 25,
"end_line": 626,
"start_col": 0,
"start_line": 623
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | qs: FStar.Seq.Base.seq Vale.Def.Types_s.quad32
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length qs == 4)
(ensures
(let block = Vale.SHA.SHA_helpers.quads_to_block qs in
forall (i:
Prims.int
{ i >= 0 /\ i < FStar.Seq.Base.length qs /\ (i >= 0) /\ (i < FStar.Seq.Base.length qs) /\
(i >= 0) /\ (i < FStar.Seq.Base.length qs) /\
(i >= 0) /\ (i < FStar.Seq.Base.length qs) /\
(i >= 0) /\ (i < FStar.Seq.Base.length qs) }).
{:pattern FStar.Seq.Base.index qs i}
0 <= i /\ i < 4 ==>
Mkfour?.lo0 qs.[ i ] == Vale.SHA.SHA_helpers.ws_opaque block (4 * i + 0) /\
Mkfour?.lo1 qs.[ i ] == Vale.SHA.SHA_helpers.ws_opaque block (4 * i + 1) /\
Mkfour?.hi2 qs.[ i ] == Vale.SHA.SHA_helpers.ws_opaque block (4 * i + 2) /\
Mkfour?.hi3 qs.[ i ] == Vale.SHA.SHA_helpers.ws_opaque block (4 * i + 3) /\
qs.[ i ] == Vale.SHA.SHA_helpers.ws_quad32 (4 * i) block)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.SHA2.block_w",
"Spec.SHA2.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Spec.SHA2.size_k_w",
"Spec.Hash.Definitions.word",
"Spec.SHA2.Lemmas.ws",
"Prims.unit",
"Vale.Def.Words_s.four",
"Vale.Def.Words_s.nat32",
"Prims.eq2",
"Prims.int",
"FStar.Seq.Base.length",
"FStar.Mul.op_Star",
"Vale.Def.Words.Seq_s.seq_four_to_seq_LE"
] | [] | true | false | true | false | false | let lemma_quads_to_block qs =
| reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way | val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code | val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code | let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
()))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 21,
"end_line": 235,
"start_col": 0,
"start_line": 219
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsBasic.va_code_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_MulAdd_unroll_2way () =
| (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret)
(va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7)
(va_op_reg_opr_reg 10)
Secret)
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 6))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 14))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 12))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 11)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 10))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4
)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 11))
(va_CNil ()))))))))))))))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.update_multi_one | val update_multi_one (h: hash256) (b: bytes_blocks{length b = block_length})
: Lemma (ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) | val update_multi_one (h: hash256) (b: bytes_blocks{length b = block_length})
: Lemma (ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) | let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 761,
"start_col": 0,
"start_line": 759
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
h: Vale.SHA.SHA_helpers.hash256 ->
b:
Vale.SHA.SHA_helpers.bytes_blocks{FStar.Seq.Base.length b = Vale.SHA.SHA_helpers.block_length}
-> FStar.Pervasives.Lemma
(ensures
Spec.Agile.Hash.update_multi Spec.Hash.Definitions.SHA2_256 h () b ==
Spec.Agile.Hash.update Spec.Hash.Definitions.SHA2_256 h b) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.bytes_blocks",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"FStar.Seq.Base.length",
"Vale.SHA.SHA_helpers.byte",
"Vale.SHA.SHA_helpers.block_length",
"Spec.Hash.Lemmas.update_multi_update",
"Spec.Hash.Definitions.SHA2_256",
"Prims.unit",
"Prims.l_True",
"Prims.squash",
"Prims.eq2",
"Spec.Hash.Definitions.words_state",
"Spec.Agile.Hash.update_multi",
"Spec.Agile.Hash.update",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let update_multi_one (h: hash256) (b: bytes_blocks{length b = block_length})
: Lemma (ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
| update_multi_update SHA2_256 h b | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_1way | val va_wp_MulAdd_unroll_1way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_MulAdd_unroll_1way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 89,
"end_line": 188,
"start_col": 0,
"start_line": 170
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"FStar.Seq.Base.length",
"Vale.AES.PPC64LE.GHash.in_b_blocks",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.PPC64LE.Decls.va_get_reg",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Prims.l_Forall",
"Prims.l_imp",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec"
] | [] | false | false | false | true | true | let va_wp_MulAdd_unroll_1way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b
index
1
(va_get_mem_heaplet 1 va_s0)
(va_get_mem_layout va_s0)
(va_get_reg 7 va_s0)
data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\
(forall (va_x_v0: quad32) (va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32).
let va_sM =
va_upd_vec 4
va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0)))
in
va_get_ok va_sM /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==>
va_k va_sM (()))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_le_bytes_to_seq_quad32_length | val lemma_le_bytes_to_seq_quad32_length (b: seq nat8)
: Lemma (requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16) | val lemma_le_bytes_to_seq_quad32_length (b: seq nat8)
: Lemma (requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16) | let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 723,
"start_col": 0,
"start_line": 718
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | b: FStar.Seq.Base.seq Vale.Def.Words_s.nat8
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length b % 16 == 0)
(ensures
FStar.Seq.Base.length (Vale.Def.Types_s.le_bytes_to_seq_quad32 b) ==
FStar.Seq.Base.length b / 16) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Words_s.nat8",
"Prims.unit",
"FStar.Pervasives.reveal_opaque",
"Vale.Def.Types_s.nat8",
"Vale.Def.Types_s.quad32",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"FStar.Seq.Base.length",
"Prims.l_True",
"Vale.Def.Types_s.le_bytes_to_seq_quad32",
"Prims.squash",
"Prims.op_Division",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_le_bytes_to_seq_quad32_length (b: seq nat8)
: Lemma (requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16) =
| reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_MulAdd_unroll_2way | val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool | val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool | let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ())))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 35,
"end_line": 257,
"start_col": 0,
"start_line": 239
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsBasic.va_codegen_success_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer_index",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulHigh",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyAdd",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_MulAdd_unroll_2way () =
| (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret)
(va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7)
(va_op_reg_opr_reg 10)
Secret)
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7))
(va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 6))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 14))
(va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 12))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec
11)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec
2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec
3)
(va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 10))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec
4)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 11))
(va_ttrue ())))))))))))))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_le_bytes_to_seq_quad32_empty | val lemma_le_bytes_to_seq_quad32_empty (b: seq nat8)
: Lemma (requires b == empty) (ensures le_bytes_to_seq_quad32 b == empty) | val lemma_le_bytes_to_seq_quad32_empty (b: seq nat8)
: Lemma (requires b == empty) (ensures le_bytes_to_seq_quad32 b == empty) | let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty) | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 49,
"end_line": 716,
"start_col": 0,
"start_line": 711
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | b: FStar.Seq.Base.seq Vale.Def.Words_s.nat8
-> FStar.Pervasives.Lemma (requires b == FStar.Seq.Base.empty)
(ensures Vale.Def.Types_s.le_bytes_to_seq_quad32 b == FStar.Seq.Base.empty) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Words_s.nat8",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.Def.Types_s.quad32",
"Vale.Def.Types_s.le_bytes_to_seq_quad32",
"FStar.Seq.Base.empty",
"Prims.unit",
"FStar.Pervasives.reveal_opaque",
"Vale.Def.Types_s.nat8",
"Prims.eq2",
"Prims.int",
"Prims.op_Modulus",
"FStar.Seq.Base.length",
"Prims.l_True",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_le_bytes_to_seq_quad32_empty (b: seq nat8)
: Lemma (requires b == empty) (ensures le_bytes_to_seq_quad32 b == empty) =
| reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_le_bytes_to_hash_quads_part1 | val lemma_le_bytes_to_hash_quads_part1 (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s)) | val lemma_le_bytes_to_hash_quads_part1 (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s)) | let lemma_le_bytes_to_hash_quads_part1 (s:seq quad32) : Lemma
(requires length s == 2)
(ensures le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s))
=
let lhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
assert (lhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE (le_seq_quad32_to_bytes s)));
le_seq_quad32_to_bytes_reveal ();
Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s);
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1049,
"start_col": 0,
"start_line": 1040
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
()
#reset-options "--max_fuel 0 --ifuel 1 --z3rlimit 20"
let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end
//
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of update_multi_quads :(
let lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig))
=
let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0 then ()
else (
let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()
)
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq Vale.Def.Types_s.quad32
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length s == 2)
(ensures
Vale.SHA.SHA_helpers.le_bytes_to_hash (Vale.Def.Types_s.le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map Vale.SHA.SHA_helpers.nat32_to_word
(Vale.Def.Words.Seq_s.seq_four_to_seq_LE s)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Prims.unit",
"Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE",
"Vale.Def.Words.Seq_s.seq_four_to_seq_LE",
"Vale.Def.Types_s.nat32",
"Vale.Def.Types_s.le_seq_quad32_to_bytes_reveal",
"Prims._assert",
"Prims.eq2",
"Vale.SHA.SHA_helpers.word",
"Vale.Lib.Seqs_s.seq_map",
"Vale.Def.Words_s.nat32",
"Vale.SHA.SHA_helpers.nat32_to_word",
"Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE",
"Vale.Def.Types_s.le_seq_quad32_to_bytes",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.le_bytes_to_hash",
"Prims.int",
"FStar.Seq.Base.length",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_le_bytes_to_hash_quads_part1 (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s)) =
| let lhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
assert (lhs ==
Vale.Lib.Seqs_s.seq_map nat32_to_word
(Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE (le_seq_quad32_to_bytes s)));
le_seq_quad32_to_bytes_reveal ();
Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s);
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_update_multi_opaque_vale_is_update_multi | val lemma_update_multi_opaque_vale_is_update_multi (hash:hash256) (blocks:bytes) : Lemma
(requires length blocks % 64 = 0)
(ensures update_multi_opaque_vale hash blocks == update_multi_transparent hash blocks) | val lemma_update_multi_opaque_vale_is_update_multi (hash:hash256) (blocks:bytes) : Lemma
(requires length blocks % 64 = 0)
(ensures update_multi_opaque_vale hash blocks == update_multi_transparent hash blocks) | let lemma_update_multi_opaque_vale_is_update_multi (hash:hash256) (blocks:bytes) : Lemma
(requires length blocks % 64 = 0)
(ensures update_multi_opaque_vale hash blocks == update_multi_transparent hash blocks)
=
update_multi_reveal ();
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1086,
"start_col": 0,
"start_line": 1081
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
()
#reset-options "--max_fuel 0 --ifuel 1 --z3rlimit 20"
let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end
//
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of update_multi_quads :(
let lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig))
=
let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0 then ()
else (
let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()
)
#pop-options
let lemma_le_bytes_to_hash_quads_part1 (s:seq quad32) : Lemma
(requires length s == 2)
(ensures le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s))
=
let lhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
assert (lhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE (le_seq_quad32_to_bytes s)));
le_seq_quad32_to_bytes_reveal ();
Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s);
()
//
#push-options "--z3rlimit 30"
let lemma_le_bytes_to_hash_quads (s:seq quad32) : Lemma
(requires length s == 2)
(ensures (let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[0] == to_uint32 (s.[0]).lo0 /\
rhs.[1] == to_uint32 (s.[0]).lo1 /\
rhs.[2] == to_uint32 (s.[0]).hi2 /\
rhs.[3] == to_uint32 (s.[0]).hi3 /\
rhs.[4] == to_uint32 (s.[1]).lo0 /\
rhs.[5] == to_uint32 (s.[1]).lo1 /\
rhs.[6] == to_uint32 (s.[1]).hi2 /\
rhs.[7] == to_uint32 (s.[1]).hi3 /\
length rhs == 8))
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
lemma_le_bytes_to_hash_quads_part1 s;
assert (rhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s));
()
#pop-options
let lemma_hash_to_bytes (s:seq quad32) : Lemma
(requires length s == 2)
(ensures make_ordered_hash s.[0] s.[1] == le_bytes_to_hash (le_seq_quad32_to_bytes s))
=
lemma_le_bytes_to_hash_quads s;
assert (equal (make_ordered_hash s.[0] s.[1]) (le_bytes_to_hash (le_seq_quad32_to_bytes s)));
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | hash: Vale.SHA.SHA_helpers.hash256 -> blocks: Vale.SHA.SHA_helpers.bytes
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length blocks % 64 = 0)
(ensures
Vale.SHA.SHA_helpers.update_multi_opaque_vale hash blocks ==
Vale.SHA.SHA_helpers.update_multi_transparent hash blocks) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.bytes",
"Prims.unit",
"Vale.SHA.SHA_helpers.update_multi_reveal",
"Prims.b2t",
"Prims.op_Equality",
"Prims.int",
"Prims.op_Modulus",
"FStar.Seq.Base.length",
"Vale.SHA.SHA_helpers.byte",
"Prims.squash",
"Prims.eq2",
"Vale.SHA.SHA_helpers.update_multi_opaque_vale",
"Vale.SHA.SHA_helpers.update_multi_transparent",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_update_multi_opaque_vale_is_update_multi (hash: hash256) (blocks: bytes)
: Lemma (requires length blocks % 64 = 0)
(ensures update_multi_opaque_vale hash blocks == update_multi_transparent hash blocks) =
| update_multi_reveal ();
() | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_le_bytes_to_hash_quads | val lemma_le_bytes_to_hash_quads (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
(let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[ 0 ] == to_uint32 (s.[ 0 ]).lo0 /\ rhs.[ 1 ] == to_uint32 (s.[ 0 ]).lo1 /\
rhs.[ 2 ] == to_uint32 (s.[ 0 ]).hi2 /\ rhs.[ 3 ] == to_uint32 (s.[ 0 ]).hi3 /\
rhs.[ 4 ] == to_uint32 (s.[ 1 ]).lo0 /\ rhs.[ 5 ] == to_uint32 (s.[ 1 ]).lo1 /\
rhs.[ 6 ] == to_uint32 (s.[ 1 ]).hi2 /\ rhs.[ 7 ] == to_uint32 (s.[ 1 ]).hi3 /\
length rhs == 8)) | val lemma_le_bytes_to_hash_quads (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
(let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[ 0 ] == to_uint32 (s.[ 0 ]).lo0 /\ rhs.[ 1 ] == to_uint32 (s.[ 0 ]).lo1 /\
rhs.[ 2 ] == to_uint32 (s.[ 0 ]).hi2 /\ rhs.[ 3 ] == to_uint32 (s.[ 0 ]).hi3 /\
rhs.[ 4 ] == to_uint32 (s.[ 1 ]).lo0 /\ rhs.[ 5 ] == to_uint32 (s.[ 1 ]).lo1 /\
rhs.[ 6 ] == to_uint32 (s.[ 1 ]).hi2 /\ rhs.[ 7 ] == to_uint32 (s.[ 1 ]).hi3 /\
length rhs == 8)) | let lemma_le_bytes_to_hash_quads (s:seq quad32) : Lemma
(requires length s == 2)
(ensures (let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[0] == to_uint32 (s.[0]).lo0 /\
rhs.[1] == to_uint32 (s.[0]).lo1 /\
rhs.[2] == to_uint32 (s.[0]).hi2 /\
rhs.[3] == to_uint32 (s.[0]).hi3 /\
rhs.[4] == to_uint32 (s.[1]).lo0 /\
rhs.[5] == to_uint32 (s.[1]).lo1 /\
rhs.[6] == to_uint32 (s.[1]).hi2 /\
rhs.[7] == to_uint32 (s.[1]).hi3 /\
length rhs == 8))
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
lemma_le_bytes_to_hash_quads_part1 s;
assert (rhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s));
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1070,
"start_col": 0,
"start_line": 1053
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
()
#reset-options "--max_fuel 0 --ifuel 1 --z3rlimit 20"
let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end
//
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of update_multi_quads :(
let lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig))
=
let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0 then ()
else (
let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()
)
#pop-options
let lemma_le_bytes_to_hash_quads_part1 (s:seq quad32) : Lemma
(requires length s == 2)
(ensures le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s))
=
let lhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
assert (lhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE (le_seq_quad32_to_bytes s)));
le_seq_quad32_to_bytes_reveal ();
Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s);
()
// | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 30,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq Vale.Def.Types_s.quad32
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length s == 2)
(ensures
(let rhs =
Vale.SHA.SHA_helpers.le_bytes_to_hash (Vale.Def.Types_s.le_seq_quad32_to_bytes s)
in
rhs.[ 0 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.lo0 s.[ 0 ]) /\
rhs.[ 1 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.lo1 s.[ 0 ]) /\
rhs.[ 2 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.hi2 s.[ 0 ]) /\
rhs.[ 3 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.hi3 s.[ 0 ]) /\
rhs.[ 4 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.lo0 s.[ 1 ]) /\
rhs.[ 5 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.lo1 s.[ 1 ]) /\
rhs.[ 6 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.hi2 s.[ 1 ]) /\
rhs.[ 7 ] == Vale.SHA.SHA_helpers.to_uint32 (Mkfour?.hi3 s.[ 1 ]) /\
FStar.Seq.Base.length rhs == 8)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Prims.unit",
"Prims._assert",
"Prims.eq2",
"Vale.SHA.SHA_helpers.word",
"Vale.Lib.Seqs_s.seq_map",
"Vale.Def.Types_s.nat32",
"Vale.SHA.SHA_helpers.nat32_to_word",
"Vale.Def.Words.Seq_s.seq_four_to_seq_LE",
"Vale.SHA.SHA_helpers.lemma_le_bytes_to_hash_quads_part1",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.le_bytes_to_hash",
"Vale.Def.Types_s.le_seq_quad32_to_bytes",
"FStar.Pervasives.reveal_opaque",
"Vale.Def.Words_s.four",
"Vale.Def.Words_s.nat32",
"Prims.int",
"FStar.Seq.Base.length",
"FStar.Mul.op_Star",
"Prims.squash",
"Prims.l_and",
"Lib.IntTypes.uint32",
"Spec.SHA2.op_String_Access",
"Vale.SHA.SHA_helpers.to_uint32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Words_s.__proj__Mkfour__item__lo1",
"Vale.Def.Words_s.__proj__Mkfour__item__hi2",
"Vale.Def.Words_s.__proj__Mkfour__item__hi3",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_le_bytes_to_hash_quads (s: seq quad32)
: Lemma (requires length s == 2)
(ensures
(let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[ 0 ] == to_uint32 (s.[ 0 ]).lo0 /\ rhs.[ 1 ] == to_uint32 (s.[ 0 ]).lo1 /\
rhs.[ 2 ] == to_uint32 (s.[ 0 ]).hi2 /\ rhs.[ 3 ] == to_uint32 (s.[ 0 ]).hi3 /\
rhs.[ 4 ] == to_uint32 (s.[ 1 ]).lo0 /\ rhs.[ 5 ] == to_uint32 (s.[ 1 ]).lo1 /\
rhs.[ 6 ] == to_uint32 (s.[ 1 ]).hi2 /\ rhs.[ 7 ] == to_uint32 (s.[ 1 ]).hi3 /\
length rhs == 8)) =
| reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
lemma_le_bytes_to_hash_quads_part1 s;
assert (rhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s));
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_2way | val va_wp_MulAdd_unroll_2way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_MulAdd_unroll_2way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 81,
"end_line": 487,
"start_col": 0,
"start_line": 460
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"FStar.Seq.Base.length",
"Vale.AES.PPC64LE.GHash.in_b_blocks",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.PPC64LE.Decls.va_get_reg",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Prims.l_Forall",
"Vale.PPC64LE.Memory.nat64",
"Prims.l_imp",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec",
"Vale.PPC64LE.Decls.va_upd_reg"
] | [] | false | false | false | true | true | let va_wp_MulAdd_unroll_2way
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b
index
2
(va_get_mem_heaplet 1 va_s0)
(va_get_mem_layout va_s0)
(va_get_reg 7 va_s0)
data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\
(forall (va_x_r10: nat64)
(va_x_v0: quad32)
(va_x_v2: quad32)
(va_x_v3: quad32)
(va_x_v4: quad32)
(va_x_v8: quad32)
(va_x_v9: quad32)
(va_x_v10: quad32)
(va_x_v11: quad32).
let va_sM =
va_upd_vec 11
va_x_v11
(va_upd_vec 10
va_x_v10
(va_upd_vec 9
va_x_v9
(va_upd_vec 8
va_x_v8
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 2
va_x_v2
(va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 va_s0))))))))
in
va_get_ok va_sM /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==>
va_k va_sM (()))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Reduce | val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ()))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 74,
"end_line": 552,
"start_col": 0,
"start_line": 538
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VSwap",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Reduce () =
| (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8))
(va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec
2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2))
(va_ttrue ()))))))))))))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.translate_hash_update | val translate_hash_update (h0 h1 h0' h1' a0 a1: quad32)
: Lemma (requires h0' == add_wrap_quad32 a0 h0 /\ h1' == add_wrap_quad32 a1 h1)
(ensures
(let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h')) | val translate_hash_update (h0 h1 h0' h1' a0 a1: quad32)
: Lemma (requires h0' == add_wrap_quad32 a0 h0 /\ h1' == add_wrap_quad32 a1 h1)
(ensures
(let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h')) | let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 647,
"start_col": 0,
"start_line": 629
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0" | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
h0: Vale.Def.Types_s.quad32 ->
h1: Vale.Def.Types_s.quad32 ->
h0': Vale.Def.Types_s.quad32 ->
h1': Vale.Def.Types_s.quad32 ->
a0: Vale.Def.Types_s.quad32 ->
a1: Vale.Def.Types_s.quad32
-> FStar.Pervasives.Lemma
(requires
h0' == Vale.Arch.Types.add_wrap_quad32 a0 h0 /\ h1' == Vale.Arch.Types.add_wrap_quad32 a1 h1
)
(ensures
(let h = Vale.SHA.SHA_helpers.make_hash h0 h1 in
let a = Vale.SHA.SHA_helpers.make_hash a0 a1 in
let h' = Vale.SHA.SHA_helpers.make_hash h0' h1' in
let mapped = Spec.Loops.seq_map2 Lib.IntTypes.op_Plus_Dot h a in
mapped == h')) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.SHA.SHA_helpers.word",
"FStar.Classical.forall_intro_2",
"Vale.Def.Words_s.nat32",
"Prims.eq2",
"Vale.Def.Words_s.natN",
"Vale.Def.Words_s.pow2_32",
"Vale.Def.Types_s.add_wrap",
"Vale.SHA.SHA_helpers.vv",
"FStar.UInt32.add_mod",
"Vale.SHA.SHA_helpers.to_uint32",
"Vale.SHA.SHA_helpers.lemma_add_wrap_is_add_mod",
"FStar.Seq.Base.seq",
"Prims.l_and",
"Prims.b2t",
"Prims.op_Equality",
"Prims.nat",
"FStar.Seq.Base.length",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.op_LessThan",
"FStar.Seq.Base.index",
"Lib.IntTypes.add_mod",
"Lib.IntTypes.U32",
"Lib.IntTypes.SEC",
"Spec.Loops.seq_map2",
"Lib.IntTypes.op_Plus_Dot",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.make_hash",
"Vale.Arch.Types.add_wrap_quad32",
"Prims.squash",
"Prims.l_or",
"Prims.int",
"Lib.IntTypes.int_t",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let translate_hash_update (h0 h1 h0' h1' a0 a1: quad32)
: Lemma (requires h0' == add_wrap_quad32 a0 h0 /\ h1' == add_wrap_quad32 a1 h1)
(ensures
(let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h')) =
| let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Reduce | val va_code_Reduce : va_dummy:unit -> Tot va_code | val va_code_Reduce : va_dummy:unit -> Tot va_code | let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ())))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 33,
"end_line": 534,
"start_col": 0,
"start_line": 522
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Reduce () =
| (va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9))
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10))
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 2))
(va_CNil ())))))))))))))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_update_multi_quads | val lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig)) | val lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig)) | let lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig))
=
let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0 then ()
else (
let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()
) | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 3,
"end_line": 1037,
"start_col": 0,
"start_line": 1007
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
()
#reset-options "--max_fuel 0 --ifuel 1 --z3rlimit 20"
let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end
// | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
s: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ->
hash_orig: Vale.SHA.SHA_helpers.hash256 ->
bound: Prims.nat
-> FStar.Pervasives.Lemma (requires bound + 4 <= FStar.Seq.Base.length s)
(ensures
(let prefix_LE = FStar.Seq.Base.slice s 0 bound in
let prefix_BE = Vale.Arch.Types.reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = Vale.SHA.SHA_helpers.update_multi_quads prefix_BE hash_orig in
let block_quads_LE = FStar.Seq.Base.slice s bound (bound + 4) in
let block_quads_BE = Vale.Arch.Types.reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = FStar.Seq.Base.slice s 0 (bound + 4) in
let input_BE = Vale.Arch.Types.reverse_bytes_nat32_quad32_seq input_LE in
let h =
Vale.SHA.SHA_helpers.update_block h_prefix
(Vale.SHA.SHA_helpers.quads_to_block block_quads_BE)
in
h == Vale.SHA.SHA_helpers.update_multi_quads input_BE hash_orig)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.hash256",
"Prims.nat",
"Prims.op_Equality",
"Prims.int",
"Prims.bool",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"FStar.Pervasives.Native.tuple2",
"FStar.Seq.Properties.split",
"Prims.op_Subtraction",
"FStar.Seq.Base.length",
"Prims.eq2",
"FStar.Seq.Base.slice",
"Vale.Arch.Types.reverse_bytes_nat32_quad32_seq",
"Prims.op_Addition",
"Vale.SHA.SHA_helpers.lemma_slice_commutes_reverse_bytes_nat32_quad32_seq",
"Vale.SHA.SHA_helpers.update_block",
"Vale.SHA.SHA_helpers.quads_to_block",
"Vale.SHA.SHA_helpers.update_multi_quads",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_update_multi_quads (s: seq quad32) (hash_orig: hash256) (bound: nat)
: Lemma (requires bound + 4 <= length s)
(ensures
(let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound + 4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig)) =
| let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound + 4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0
then ()
else
(let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_update_multi_equiv_vale | val lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq byte) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % size_k_w_256 == 0 /\
hash' == update_multi_opaque_vale hash blocks) | val lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq byte) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % size_k_w_256 == 0 /\
hash' == update_multi_opaque_vale hash blocks) | let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 5,
"end_line": 1002,
"start_col": 0,
"start_line": 879
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
hash: Vale.SHA.SHA_helpers.hash256 ->
hash': Vale.SHA.SHA_helpers.hash256 ->
quads: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ->
r_quads: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ->
nat8s: FStar.Seq.Base.seq Vale.Def.Words_s.nat8 ->
blocks: FStar.Seq.Base.seq Vale.SHA.SHA_helpers.byte
-> FStar.Pervasives.Lemma
(requires
FStar.Seq.Base.length quads % 4 == 0 /\
r_quads == Vale.Arch.Types.reverse_bytes_nat32_quad32_seq quads /\
nat8s == Vale.Def.Types_s.le_seq_quad32_to_bytes quads /\
blocks == Vale.Def.Words.Seq_s.seq_nat8_to_seq_uint8 nat8s /\
hash' == Vale.SHA.SHA_helpers.update_multi_quads r_quads hash)
(ensures
FStar.Seq.Base.length blocks % Vale.SHA.SHA_helpers.size_k_w_256 == 0 /\
hash' == Vale.SHA.SHA_helpers.update_multi_opaque_vale hash blocks)
(decreases FStar.Seq.Base.length quads) | FStar.Pervasives.Lemma | [
"",
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.hash256",
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Vale.Def.Words_s.nat8",
"FStar.UInt8.t",
"Prims.op_Equality",
"Prims.int",
"FStar.Seq.Base.length",
"Prims.unit",
"Spec.Hash.Lemmas.update_multi_zero",
"Spec.Hash.Definitions.SHA2_256",
"Prims._assert",
"FStar.Seq.Base.equal",
"FStar.Seq.Base.empty",
"Vale.SHA.SHA_helpers.lemma_update_multi_quads_short",
"Vale.Arch.Types.lemma_le_seq_quad32_to_bytes_length",
"Prims.bool",
"Lib.UpdateMulti.uint8",
"Vale.SHA.SHA_helpers.update_multi_one",
"Vale.SHA.SHA_helpers.lemma_update_block_equiv",
"Vale.SHA.SHA_helpers.lemma_endian_relation",
"FStar.Seq.Base.slice",
"Prims.op_Subtraction",
"Vale.Def.Words.Seq_s.seq_nat8_to_seq_uint8",
"Vale.Def.Types_s.le_seq_quad32_to_bytes",
"Vale.Arch.Types.slice_commutes_le_seq_quad32_to_bytes",
"Prims.op_Division",
"Vale.Lib.Seqs.slice_seq_map_commute",
"Vale.Arch.Types.reverse_bytes_nat32_quad32",
"Vale.SHA.SHA_helpers.word",
"Prims.eq2",
"Vale.Arch.Types.reverse_bytes_nat32_quad32_seq",
"Vale.Arch.Types.slice_commutes_le_seq_quad32_to_bytes0",
"Vale.Def.Types_s.nat8",
"Spec.Hash.Definitions.word",
"Prims.l_or",
"Prims.nat",
"Spec.Hash.Definitions.state_word_length",
"Prims.b2t",
"Spec.Agile.Hash.update_multi",
"Vale.SHA.SHA_helpers.lemma_update_multi_equiv_vale",
"Vale.SHA.SHA_helpers.lemma_update_multi_quads_unfold",
"Vale.SHA.SHA_helpers.update_block",
"Vale.SHA.SHA_helpers.quads_to_block",
"Vale.SHA.SHA_helpers.update_multi_quads",
"FStar.Pervasives.Native.tuple2",
"FStar.Seq.Properties.split",
"Spec.Hash.Definitions.words_state",
"FStar.Seq.Base.lemma_eq_intro",
"FStar.Seq.Base.append",
"Spec.Hash.Lemmas.update_multi_associative",
"Lib.UpdateMulti.split_block",
"Vale.SHA.SHA_helpers.block_length",
"FStar.Mul.op_Star",
"Vale.SHA.SHA_helpers.update_multi_reveal",
"Prims.op_Modulus",
"Vale.SHA.SHA_helpers.lemma_mod_transform",
"Prims.l_and",
"Prims.squash",
"Vale.SHA.SHA_helpers.update_multi_opaque_vale",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [
"recursion"
] | false | false | true | false | false | let rec lemma_update_multi_equiv_vale
(hash hash': hash256)
(quads r_quads: seq quad32)
(nat8s: seq nat8)
(blocks: seq UInt8.t)
: Lemma
(requires
length quads % 4 == 0 /\ r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\ blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures length blocks % 64 == 0 /\ hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads)) =
| lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0
then
(lemma_le_seq_quad32_to_bytes_length quads;
lemma_update_multi_quads_short r_quads hash;
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
())
else
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
let input1, input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash
h_prefix
r_prefix
prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix ==
update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
assert (bytes_pivot / 16 == length quads - 4);
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads
0
(length quads - 4))) ==
slice quads 0 (length quads - 4));
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
assert (Seq.equal h_prefix h_bytes1);
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32
quads
(length quads - 4)
(length quads);
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot / 16) ((length blocks) / 16);
assert (equal input2
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads
(length quads - 4)
(length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs input2;
lemma_update_block_equiv h_bytes1 input2;
update_multi_one h_bytes1 input2;
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_Reduce | val va_wp_Reduce (f: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | val va_wp_Reduce (f: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 98,
"end_line": 689,
"start_col": 0,
"start_line": 667
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
f: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Vale.Math.Poly2_s.shift",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Prims.op_Minus",
"Vale.Math.Poly2_s.zero",
"Vale.Math.Poly2.mask",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Prims.int",
"Vale.Math.Poly2_s.poly_index",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.reverse",
"Vale.Math.Poly2_s.monomial",
"Prims.l_Forall",
"Vale.PPC64LE.Memory.quad32",
"Prims.l_imp",
"Vale.Math.Poly2_s.mod",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec"
] | [] | false | false | false | true | true | let va_wp_Reduce (f: poly) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in
let c:Vale.Math.Poly2_s.poly = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63 in
let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in
let a:Vale.Math.Poly2_s.poly =
add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128)
in
Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) (- 64) == zero /\
Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 8 va_s0)) 64 == c /\
Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g == 128 /\
Vale.Math.Poly2_s.poly_index f 0) /\
(forall (va_x_v0: quad32)
(va_x_v10: quad32)
(va_x_v8: quad32)
(va_x_v2: quad32)
(va_x_v9: quad32)
(va_x_v3: quad32)
(va_x_v4: quad32)
(va_x_v1: quad32).
let va_sM =
va_upd_vec 1
va_x_v1
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 9
va_x_v9
(va_upd_vec 2
va_x_v2
(va_upd_vec 8
va_x_v8
(va_upd_vec 10 va_x_v10 (va_upd_vec 0 va_x_v0 va_s0)))))))
in
va_get_ok va_sM /\
(let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in
let c:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63
in
let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in
let a:Vale.Math.Poly2_s.poly =
add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128)
in
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==>
va_k va_sM (()))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.update_lemma | val update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 size_k_w_256 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block)) | val update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 size_k_w_256 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block)) | let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 708,
"start_col": 0,
"start_line": 666
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
src1: Vale.Def.Types_s.quad32 ->
src2: Vale.Def.Types_s.quad32 ->
src1': Vale.Def.Types_s.quad32 ->
src2': Vale.Def.Types_s.quad32 ->
h0: Vale.Def.Types_s.quad32 ->
h1: Vale.Def.Types_s.quad32 ->
block: Vale.SHA.SHA_helpers.block_w
-> FStar.Pervasives.Lemma
(requires
(let hash_orig = Vale.SHA.SHA_helpers.make_hash h0 h1 in
Vale.SHA.SHA_helpers.make_hash src1 src2 ==
Spec.Loops.repeat_range 0
Vale.SHA.SHA_helpers.size_k_w_256
(Vale.SHA.SHA_helpers.shuffle_core_opaque block)
hash_orig /\ src1' == Vale.Arch.Types.add_wrap_quad32 src1 h0 /\
src2' == Vale.Arch.Types.add_wrap_quad32 src2 h1))
(ensures
(let hash_orig = Vale.SHA.SHA_helpers.make_hash h0 h1 in
Vale.SHA.SHA_helpers.make_hash src1' src2' ==
Vale.SHA.SHA_helpers.update_block hash_orig block)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.block_w",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.SHA.SHA_helpers.word",
"Vale.SHA.SHA_helpers.make_hash",
"Vale.SHA.SHA_helpers.update_block",
"Spec.SHA2.Lemmas.shuffle_is_shuffle_pre",
"Spec.Hash.Definitions.SHA2_256",
"Vale.SHA.SHA_helpers.translate_hash_update",
"Prims.nat",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.l_True",
"Prims.squash",
"Prims.eq2",
"FStar.Seq.Base.seq",
"Prims.l_or",
"Prims.op_Equality",
"Prims.int",
"FStar.Seq.Base.length",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.state_word_length",
"Spec.Loops.repeat_range",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.shuffle_core_opaque",
"Spec.Hash.Definitions.words_state",
"Spec.SHA2.Lemmas.shuffle_core",
"Prims.Nil",
"FStar.Pervasives.pattern",
"Spec.Loops.repeat_range_base",
"Prims.bool",
"Spec.Loops.repeat_range_induction",
"Prims.op_Subtraction",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.SHA2.block_w",
"Spec.SHA2.counter",
"Prims.op_LessThan",
"Spec.SHA2.size_k_w",
"Spec.SHA2.shuffle",
"Vale.SHA.SHA_helpers.shuffle_opaque",
"Prims.l_and",
"Vale.Arch.Types.add_wrap_quad32"
] | [] | false | false | true | false | false | let update_lemma (src1 src2 src1' src2' h0 h1: quad32) (block: block_w)
: Lemma
(requires
(let hash_orig = make_hash h0 h1 in
make_hash src1 src2 == Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\ src2' == add_wrap_quad32 src2 h1))
(ensures
(let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block)) =
| let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i: nat{i <= 64})
: Lemma
(Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig) =
if i = 0
then
(Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig)
else
(f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig)
in
f 64;
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_ReduceLast | val va_codegen_success_ReduceLast : va_dummy:unit -> Tot va_pbool | val va_codegen_success_ReduceLast : va_dummy:unit -> Tot va_pbool | let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 61,
"end_line": 725,
"start_col": 0,
"start_line": 724
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ()))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GHash.va_codegen_success_Reduce",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_ReduceLast () =
| (va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_rnds2_spec_quad32_is_shuffle_core_x2 | val lemma_rnds2_spec_quad32_is_shuffle_core_x2
(abef cdgh: quad32)
(wk0 wk1: UInt32.t)
(block: block_w)
(t: counter{t < size_k_w_256 - 1})
: Lemma
(requires
vv wk0 == add_mod32 (k0 SHA2_256).[ t ] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[ t + 1 ] (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh'')) | val lemma_rnds2_spec_quad32_is_shuffle_core_x2
(abef cdgh: quad32)
(wk0 wk1: UInt32.t)
(block: block_w)
(t: counter{t < size_k_w_256 - 1})
: Lemma
(requires
vv wk0 == add_mod32 (k0 SHA2_256).[ t ] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[ t + 1 ] (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh'')) | let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 351,
"start_col": 0,
"start_line": 332
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
() | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 30,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
abef: Vale.Def.Types_s.quad32 ->
cdgh: Vale.Def.Types_s.quad32 ->
wk0: FStar.UInt32.t ->
wk1: FStar.UInt32.t ->
block: Vale.SHA.SHA_helpers.block_w ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256 - 1}
-> FStar.Pervasives.Lemma
(requires
Vale.SHA.SHA_helpers.vv wk0 ==
Vale.SHA.SHA_helpers.add_mod32 (Spec.SHA2.k0 Spec.Hash.Definitions.SHA2_256).[ t ]
(Vale.SHA.SHA_helpers.ws_opaque block t) /\
Vale.SHA.SHA_helpers.vv wk1 ==
Vale.SHA.SHA_helpers.add_mod32 (Spec.SHA2.k0 Spec.Hash.Definitions.SHA2_256).[ t + 1 ]
(Vale.SHA.SHA_helpers.ws_opaque block (t + 1)))
(ensures
(let hash0 = Vale.SHA.SHA_helpers.make_hash abef cdgh in
let hash1 = Vale.SHA.SHA_helpers.shuffle_core_opaque block hash0 t in
let hash2 = Vale.SHA.SHA_helpers.shuffle_core_opaque block hash1 (t + 1) in
let _ = Vale.SHA.SHA_helpers.sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
(let FStar.Pervasives.Native.Mktuple2 #_ #_ abef' cdgh' = _ in
let _ = Vale.SHA.SHA_helpers.sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
(let FStar.Pervasives.Native.Mktuple2 #_ #_ abef'' cdgh'' = _ in
hash2 == Vale.SHA.SHA_helpers.make_hash abef'' cdgh'')
<:
Type0)
<:
Type0)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"FStar.UInt32.t",
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.op_Subtraction",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.SHA.SHA_helpers.word",
"Vale.SHA.SHA_helpers.make_hash",
"Vale.SHA.SHA_helpers.lemma_rnds_quad32",
"Prims.op_Addition",
"FStar.Pervasives.Native.tuple2",
"Vale.SHA.SHA_helpers.sha256_rnds2_spec_update_quad32",
"Vale.SHA.SHA_helpers.hash256",
"Vale.SHA.SHA_helpers.shuffle_core_opaque",
"Prims.l_and",
"Prims.eq2",
"Vale.Def.Words_s.nat32",
"Vale.SHA.SHA_helpers.vv",
"Vale.SHA.SHA_helpers.add_mod32",
"Spec.SHA2.op_String_Access",
"Spec.Hash.Definitions.word",
"Spec.Hash.Definitions.SHA2_256",
"Spec.SHA2.k0",
"Vale.SHA.SHA_helpers.ws_opaque",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_rnds2_spec_quad32_is_shuffle_core_x2
(abef cdgh: quad32)
(wk0 wk1: UInt32.t)
(block: block_w)
(t: counter{t < size_k_w_256 - 1})
: Lemma
(requires
vv wk0 == add_mod32 (k0 SHA2_256).[ t ] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[ t + 1 ] (ws_opaque block (t + 1)))
(ensures
(let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh'')) =
| let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t + 1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_ReduceLast | val va_code_ReduceLast : va_dummy:unit -> Tot va_code | val va_code_ReduceLast : va_dummy:unit -> Tot va_code | let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ()))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 721,
"start_col": 0,
"start_line": 719
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.AES.PPC64LE.GHash.va_code_Reduce",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_ReduceLast () =
| (va_Block (va_CCons (va_code_Reduce ())
(va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_register | val va_codegen_success_Ghash_register : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Ghash_register : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
())))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 929,
"start_col": 0,
"start_line": 912
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
())))))))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VPolyMulHigh",
"Vale.PPC64LE.InsBasic.va_codegen_success_LoadImmShl64",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_codegen_success_Mtvsrws",
"Vale.PPC64LE.InsVector.va_codegen_success_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_codegen_success_ReduceLast",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Ghash_register () =
| (va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5)
Secret)
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7))
(va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6))
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8)
0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg
10)
(- 15872))
(va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec
0)
(va_op_reg_opr_reg 10))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 0)
4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec
8)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
4)
(va_pbool_and (va_codegen_success_ReduceLast
())
(va_ttrue ())))))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Ghash_register | val va_code_Ghash_register : va_dummy:unit -> Tot va_code | val va_code_Ghash_register : va_dummy:unit -> Tot va_code | let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
())))))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 24,
"end_line": 909,
"start_col": 0,
"start_line": 894
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.PPC64LE.InsBasic.va_code_LoadImmShl64",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_code_Mtvsrws",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Ghash_register () =
| (va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5)
Secret)
(va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5))
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5))
(va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 9))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6))
(va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10
)
(- 15872))
(va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 0)
4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec
8)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
4)
(va_CCons (va_code_ReduceLast ())
(va_CNil ())))))))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_GhashUnroll_n | val va_codegen_success_GhashUnroll_n : exactly2:bool -> Tot va_pbool | val va_codegen_success_GhashUnroll_n : exactly2:bool -> Tot va_pbool | let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 98,
"end_line": 819,
"start_col": 0,
"start_line": 811
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | exactly2: Prims.bool -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GHash.va_codegen_success_MulAdd_unroll_2way",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.AES.PPC64LE.GHash.va_codegen_success_MulAdd_unroll_1way",
"Vale.PPC64LE.Decls.va_pbool",
"Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsBasic.va_codegen_success_LoadImmShl64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_codegen_success_Mtvsrws",
"Vale.PPC64LE.InsVector.va_codegen_success_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_codegen_success_ReduceLast"
] | [] | false | false | false | true | false | let va_codegen_success_GhashUnroll_n exactly2 =
| (va_pbool_and (if exactly2
then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue ())
else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ()))
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (- 15872))
(va_pbool_and (va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 0)
4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
4)
(va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n | val va_code_GhashUnroll_n : exactly2:bool -> Tot va_code | val va_code_GhashUnroll_n : exactly2:bool -> Tot va_code | let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 58,
"end_line": 808,
"start_col": 0,
"start_line": 801
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | exactly2: Prims.bool -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.bool",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsBasic.va_code_LoadImmShl64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_code_Mtvsrws",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast"
] | [] | false | false | false | true | false | let va_code_GhashUnroll_n exactly2 =
| (va_Block (va_CCons (if exactly2
then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil ()))
else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ())))
(va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (- 15872))
(va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 0)
4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ()))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_1way | val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 206,
"start_col": 0,
"start_line": 198
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_1way",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way"
] | [] | false | false | false | false | false | let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index h prev data
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body | val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code | val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code | let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ()))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 87,
"end_line": 1099,
"start_col": 0,
"start_line": 1095
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n",
"Vale.PPC64LE.InsBasic.va_code_AddImm",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsBasic.va_code_SubImm",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Ghash_buffer_loop_body () =
| (va_Block (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_GhashUnroll_n true)
(va_CCons (va_Block (va_CNil ()))
(va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32)
(va_CCons (va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2)
(va_CNil ()))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_1way | val va_qcode_MulAdd_unroll_1way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) | val va_qcode_MulAdd_unroll_1way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) | let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(())))))))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 27,
"end_line": 125,
"start_col": 0,
"start_line": 61
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ())))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.AES.GHash_BE.gf128_power",
"Vale.AES.GF128.shift_key_1",
"Vale.AES.GF128_s.gf128_modulus_low_terms",
"Vale.AES.GHash_BE.g_power",
"Vale.AES.GHash_BE.lemma_gf128_power",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Vale.Math.Poly2_s.zero",
"Vale.Math.Poly2.Lemmas.lemma_degree_negative",
"Vale.Math.Poly2_s.shift",
"Prims.op_Minus",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2.Lemmas.lemma_shift_is_div",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul",
"Prims.op_GreaterThanOrEqual",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2.Lemmas.lemma_div_mod_exact",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2.Lemmas.lemma_mask_is_mod",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulHigh",
"Vale.Math.Poly2.Lemmas.lemma_mod_mod",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.lemma_swap128_mask_shift",
"Vale.Math.Poly2_s.add",
"Vale.AES.GF128.lemma_Mul128",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way"
] | [] | false | false | false | false | false | let va_qcode_MulAdd_unroll_1way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let data_i:poly = pdata 0 in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret
in_b
index)
(fun (va_s: va_state) _ ->
let va_arg44:Vale.Math.Poly2_s.poly = h in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0))
(fun (va_s: va_state) _ ->
let va_arg43:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s
))
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43)
(let va_arg42:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5))
(fun (va_s: va_state) _ ->
let va_arg41:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.monomial 64
in
let va_arg40:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1
)
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40
va_arg41)
(let va_arg39:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39
64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 6))
(fun (va_s: va_state) _ ->
let va_arg38:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.monomial 64
in
let va_arg37:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37
va_arg38)
(let va_arg36:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg36
64)
(let va_arg35:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power
h
1)
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg35
64)
(let va_arg34:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power h
1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_swap128_mask_shift
va_arg34)
(let va_arg33:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg33
64)
(let va_arg32:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul (
Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power
h
1)
(Vale.Math.Poly2_s.monomial
64))
(Vale.Math.Poly2_s.monomial
64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg32
64)
(let va_arg31:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
1
in
let va_arg30:Vale.Math.Poly2_s.poly
=
add prev data_i
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GF128.lemma_Mul128
va_arg30
va_arg31)
(va_QEmpty (()))))
)))))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_loop_body | val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 67,
"end_line": 1106,
"start_col": 0,
"start_line": 1103
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GHash.va_codegen_success_GhashUnroll_n",
"Vale.PPC64LE.InsBasic.va_codegen_success_AddImm",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsBasic.va_codegen_success_SubImm",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Ghash_buffer_loop_body () =
| (va_pbool_and (va_codegen_success_GhashUnroll_n true)
(va_pbool_and (va_codegen_success_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32)
(va_pbool_and (va_codegen_success_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2)
(va_ttrue ())))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_1way | val va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) | val va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) | let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 17,
"end_line": 213,
"start_col": 0,
"start_line": 209
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_1way",
"Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_1way",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_MulAdd_unroll_1way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
| (va_QProc (va_code_MulAdd_unroll_1way ())
([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0])
(va_wp_MulAdd_unroll_1way in_b index h prev data)
(va_wpProof_MulAdd_unroll_1way in_b index h prev data)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Mod_cr0 | val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code | val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code | let va_code_Mod_cr0 () =
(va_Block (va_CNil ())) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 25,
"end_line": 1330,
"start_col": 0,
"start_line": 1329
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Mod_cr0 () =
| (va_Block (va_CNil ())) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_body0 | val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 66,
"end_line": 1395,
"start_col": 0,
"start_line": 1393
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GHash.va_codegen_success_Mod_cr0",
"Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_loop_body",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Ghash_buffer_body0 () =
| (va_pbool_and (va_codegen_success_Mod_cr0 ())
(va_pbool_and (va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Mod_cr0 | val va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) | val va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) | let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 92,
"end_line": 1339,
"start_col": 0,
"start_line": 1338
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ()) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_mods: Vale.PPC64LE.QuickCode.va_mods_t
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Mod_cr0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0"
] | [] | false | false | false | false | false | let va_qcode_Mod_cr0 (va_mods: va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
va_QEmpty (()))) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_hash_to_bytes | val lemma_hash_to_bytes (s:seq quad32) : Lemma
(requires length s == 2)
(ensures make_ordered_hash s.[0] s.[1] == le_bytes_to_hash (le_seq_quad32_to_bytes s)) | val lemma_hash_to_bytes (s:seq quad32) : Lemma
(requires length s == 2)
(ensures make_ordered_hash s.[0] s.[1] == le_bytes_to_hash (le_seq_quad32_to_bytes s)) | let lemma_hash_to_bytes (s:seq quad32) : Lemma
(requires length s == 2)
(ensures make_ordered_hash s.[0] s.[1] == le_bytes_to_hash (le_seq_quad32_to_bytes s))
=
lemma_le_bytes_to_hash_quads s;
assert (equal (make_ordered_hash s.[0] s.[1]) (le_bytes_to_hash (le_seq_quad32_to_bytes s)));
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 1079,
"start_col": 0,
"start_line": 1073
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence
#reset-options "--z3rlimit 50 --max_fuel 1 --max_ifuel 0 --z3cliopt smt.arith.nl=true"
let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
}
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 40"
let lemma_endian_relation (quads qs:seq quad32) (input2:seq UInt8.t) : Lemma
(requires length qs == 4 /\ length input2 == 64 /\
qs == reverse_bytes_nat32_quad32_seq quads /\
input2 == seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads))
(ensures quads_to_block qs == words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2)
=
let fi (i:nat{i < length (quads_to_block qs)}) : Lemma
((quads_to_block qs).[i] == (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i])
=
let open Vale.Def.Words.Four_s in
let open Vale.Lib.Seqs_s in
let ni = (seq_four_to_seq_LE quads).[i] in
let b = slice input2 (4 * i) (4 * i + 4) in
// FStar.Krml.Endianness.lemma_be_to_n_is_bounded b;
calc (==) {
b;
== {}
slice input2 (4 * i) (4 * i + 4);
== {}
slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) (4 * i) (4 * i + 4);
== {le_seq_quad32_to_bytes_reveal ()}
slice (seq_nat8_to_seq_uint8 (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4);
equal {}
seq_nat8_to_seq_uint8 (slice (seq_nat32_to_seq_nat8_LE (seq_four_to_seq_LE quads)) (4 * i) (4 * i + 4));
== {}
seq_nat8_to_seq_uint8 (slice (seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads))) (4 * i) (4 * i + 4));
== {slice_commutes_seq_four_to_seq_LE (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)}
seq_nat8_to_seq_uint8 (seq_four_to_seq_LE (slice (seq_map (nat_to_four 8) (seq_four_to_seq_LE quads)) i (i + 1)));
equal {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat8)}
seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 (seq_four_to_seq_LE quads).[i]));
};
let open Lib.IntTypes in
calc (==) {
(words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2).[i];
== { }
(Lib.ByteSequence.uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2).[i];
== { Lib.ByteSequence.index_uints_from_bytes_be #U32 #SEC #(block_word_length SHA2_256) input2 i }
Lib.ByteSequence.uint_from_bytes_be (Lib.Sequence.sub #uint8 #64 input2 (i * 4) 4);
== { let open Lib.Sequence in
calc (==) {
sub #uint8 #64 input2 (i * 4) 4;
== { }
Seq.slice input2 (4 * i) (4 * i + 4);
}
}
Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b;
== { calc (==) {
Lib.ByteSequence.nat_from_bytes_be #SEC b;
(==) { }
Lib.ByteSequence.nat_from_bytes_be #SEC (seq_nat8_to_seq_uint8 (four_to_seq_LE (nat_to_four 8 ni)));
(==) { lemma_be_to_n_4 (four_to_seq_LE (nat_to_four 8 ni)) }
be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni));
};
v_inj (Lib.ByteSequence.uint_from_bytes_be #U32 #SEC b)
(u32 (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni))))
}
nat32_to_word (be_bytes_to_nat32 (four_to_seq_LE (nat_to_four 8 ni)));
== {}
nat32_to_word (be_bytes_to_nat32 (reverse_seq (nat32_to_be_bytes ni)));
== {reverse_bytes_nat32_reveal ()}
nat32_to_word (reverse_bytes_nat32 ni);
== {}
nat32_to_word (reverse_bytes_nat32 (seq_four_to_seq_LE quads).[i]);
== {reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32)}
nat32_to_word (seq_four_to_seq_LE qs).[i];
== {}
(quads_to_block qs).[i];
}
in
FStar.Classical.forall_intro fi;
assert (equal (quads_to_block qs) (words_of_bytes SHA2_256 #(block_word_length SHA2_256) input2))
let lemma_mod_transform (quads:seq quad32) : Lemma
(requires length quads % 4 == 0)
(ensures length (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) % 64 == 0)
=
()
#reset-options "--max_fuel 0 --ifuel 1 --z3rlimit 20"
let rec lemma_update_multi_equiv_vale (hash hash':hash256) (quads:seq quad32) (r_quads:seq quad32)
(nat8s:seq nat8) (blocks:seq UInt8.t) :
Lemma (requires length quads % 4 == 0 /\
r_quads == reverse_bytes_nat32_quad32_seq quads /\
nat8s == le_seq_quad32_to_bytes quads /\
blocks == seq_nat8_to_seq_uint8 nat8s /\
hash' == update_multi_quads r_quads hash)
(ensures
length blocks % 64 == 0 /\
hash' == update_multi_opaque_vale hash blocks)
(decreases (length quads))
=
lemma_mod_transform quads;
assert (length blocks % 64 == 0);
update_multi_reveal ();
if length quads = 0 then begin
lemma_le_seq_quad32_to_bytes_length quads;
//assert (length nat8s == 0);
//assert (length r_quads == 0);
lemma_update_multi_quads_short r_quads hash;
//assert (hash' == hash);
//assert (length blocks == 0);
assert (equal blocks empty);
update_multi_zero SHA2_256 hash;
//assert (update_multi SHA2_256 hash blocks == hash);
()
end else begin
let num_blocks = (length quads) / 4 in
let bytes_pivot = (num_blocks - 1) * 64 in
// Use associativity of update_multi to rearrange recursion to better match update_multi_quads' recursion
let input1,input2 = Lib.UpdateMulti.split_block block_length blocks (bytes_pivot / 64) in
let h_bytes1 = update_multi SHA2_256 hash () input1 in
let h_bytes2 = update_multi SHA2_256 h_bytes1 () input2 in
update_multi_associative SHA2_256 hash input1 input2;
assert (input1 `Seq.append` input2 == blocks);
Seq.lemma_eq_intro h_bytes2 (update_multi SHA2_256 hash () blocks);
assert (h_bytes2 == update_multi SHA2_256 hash () blocks);
// Unfold update_multi_quads one level, so we can start matching parts up
let prefix, qs = split r_quads (length r_quads - 4) in
let h_prefix = update_multi_quads prefix hash in
let h_final = update_block h_prefix (quads_to_block qs) in
lemma_update_multi_quads_unfold r_quads hash;
// hash' == update_multi_quads r_quads hash == h_final
(*+ Goal: h_bytes_2 == h_final +*)
(* Step 1: Show that h_prefix == h_bytes1 *)
// Inductive hypothesis says that we roughly line up on input1
let r_prefix = reverse_bytes_nat32_quad32_seq prefix in
lemma_update_multi_equiv_vale hash h_prefix r_prefix prefix
(le_seq_quad32_to_bytes r_prefix)
(seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix));
assert (h_prefix == update_multi SHA2_256 hash () (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes r_prefix)));
// To show that h_prefix == h_bytes1, we need to show that:
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1
// calc {
// input1
// slice blocks 0 bytes_pivot
// slice ( (le_seq_quad32_to_bytes quads)) 0 bytes_pivot
assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) 0 bytes_pivot)
(seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) 0 bytes_pivot)
slice_commutes_le_seq_quad32_to_bytes0 quads (bytes_pivot / 16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (bytes_pivot / 16)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 ((num_blocks - 1) * 4)))
assert (bytes_pivot / 16 == length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads 0 (length quads - 4)))))
assert (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4))) == slice quads 0 (length quads - 4));
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (reverse_bytes_nat32_quad32_seq (slice quads 0 (length quads - 4)))))
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads 0 (length quads - 4);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (reverse_bytes_nat32_quad32_seq (slice (reverse_bytes_nat32_quad32_seq quads) 0 (length quads - 4)))
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix)
// }
// assert (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes r_prefix) == input1); // Conclusion of the calc
assert (Seq.equal h_prefix h_bytes1); // Conclusion of Step 1
// To invoke lemma_endian_relation below,
// we need to show (1):
// calc {
// qs
Vale.Lib.Seqs.slice_seq_map_commute reverse_bytes_nat32_quad32 quads (length quads - 4) (length quads);
// slice (reverse_bytes_nat32_quad32_seq quads) (length quads - 4) (length quads))
// reverse_bytes_nat32_quad32_seq (slice quads (length quads - 4) (length quads))
// }
// And (2):
// calc {
// input2
// slice blocks bytes_pivot (length blocks)
// slice (seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks)
// assert (equal (slice (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes quads)) bytes_pivot (length blocks))
// (seq_nat8_to_seq_uint8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))));
// seq_nat8_to_seq_U8 (slice (le_seq_quad32_to_bytes quads) bytes_pivot (length blocks))
slice_commutes_le_seq_quad32_to_bytes quads (bytes_pivot/16) ((length blocks)/16);
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads bytes_pivot/16 (length blocks)/16)
//
// seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads))))
// }
//assert (input2 == seq_nat8_to_seq_U8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))); // Conclusion of the calc
(* Step 2: Show that update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2 *)
// calc {
// update_block SHA2_256 h_prefix (quads_to_block qs)
// { from Step 1 }
// update_block SHA2_256 h_bytes1 (quads_to_block qs)
//
assert (equal input2 (seq_nat8_to_seq_uint8 (le_seq_quad32_to_bytes (slice quads (length quads - 4) (length quads)))));
lemma_endian_relation (slice quads (length quads - 4) (length quads)) qs
input2; // ==> quads_to_block qs == words_of_bytes SHA2_256 block_word_length input2
// update_block SHA2_256 h_bytes1 (words_of_bytes SHA2_256 16 input2)
lemma_update_block_equiv h_bytes1 input2;
// update SHA2_256 h_bytes1 input2
update_multi_one h_bytes1 input2;
// update_multi SHA2_256 h_bytes1 input2
// }
//
// assert (update_block SHA2_256 h_prefix (quads_to_block qs) == update_multi SHA2_256 h_bytes1 input2); // Conclusion of calc
// assert (h_final == h_bytes2); // Conclusion of Goal
()
end
//
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of update_multi_quads :(
let lemma_update_multi_quads (s:seq quad32) (hash_orig:hash256) (bound:nat) : Lemma
(requires bound + 4 <= length s)
(ensures (let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
h == update_multi_quads input_BE hash_orig))
=
let prefix_LE = slice s 0 bound in
let prefix_BE = reverse_bytes_nat32_quad32_seq prefix_LE in
let h_prefix = update_multi_quads prefix_BE hash_orig in
let block_quads_LE = slice s bound (bound + 4) in
let block_quads_BE = reverse_bytes_nat32_quad32_seq block_quads_LE in
let input_LE = slice s 0 (bound+4) in
let input_BE = reverse_bytes_nat32_quad32_seq input_LE in
let h = update_block h_prefix (quads_to_block block_quads_BE) in
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s bound;
lemma_slice_commutes_reverse_bytes_nat32_quad32_seq s (bound + 4);
assert (prefix_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 bound);
assert (input_BE == slice (reverse_bytes_nat32_quad32_seq s) 0 (bound + 4));
if bound = 0 then ()
else (
let prefix, qs = split input_BE (length input_BE - 4) in
assert (equal prefix prefix_BE);
assert (equal qs block_quads_BE);
()
)
#pop-options
let lemma_le_bytes_to_hash_quads_part1 (s:seq quad32) : Lemma
(requires length s == 2)
(ensures le_bytes_to_hash (le_seq_quad32_to_bytes s) ==
Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s))
=
let lhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
assert (lhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE (le_seq_quad32_to_bytes s)));
le_seq_quad32_to_bytes_reveal ();
Vale.Def.Words.Seq.seq_nat8_to_seq_nat32_to_seq_nat8_LE (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s);
()
//
#push-options "--z3rlimit 30"
let lemma_le_bytes_to_hash_quads (s:seq quad32) : Lemma
(requires length s == 2)
(ensures (let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
rhs.[0] == to_uint32 (s.[0]).lo0 /\
rhs.[1] == to_uint32 (s.[0]).lo1 /\
rhs.[2] == to_uint32 (s.[0]).hi2 /\
rhs.[3] == to_uint32 (s.[0]).hi3 /\
rhs.[4] == to_uint32 (s.[1]).lo0 /\
rhs.[5] == to_uint32 (s.[1]).lo1 /\
rhs.[6] == to_uint32 (s.[1]).hi2 /\
rhs.[7] == to_uint32 (s.[1]).hi3 /\
length rhs == 8))
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
let rhs = le_bytes_to_hash (le_seq_quad32_to_bytes s) in
lemma_le_bytes_to_hash_quads_part1 s;
assert (rhs == Vale.Lib.Seqs_s.seq_map nat32_to_word (Vale.Def.Words.Seq_s.seq_four_to_seq_LE s));
()
#pop-options | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 0,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 20,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq Vale.Def.Types_s.quad32
-> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length s == 2)
(ensures
Vale.SHA.SHA_helpers.make_ordered_hash s.[ 0 ] s.[ 1 ] ==
Vale.SHA.SHA_helpers.le_bytes_to_hash (Vale.Def.Types_s.le_seq_quad32_to_bytes s)) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"Vale.Def.Types_s.quad32",
"Prims.unit",
"Prims._assert",
"FStar.Seq.Base.equal",
"Vale.SHA.SHA_helpers.word",
"Vale.SHA.SHA_helpers.make_ordered_hash",
"Spec.SHA2.op_String_Access",
"Vale.SHA.SHA_helpers.le_bytes_to_hash",
"Vale.Def.Types_s.le_seq_quad32_to_bytes",
"Vale.SHA.SHA_helpers.lemma_le_bytes_to_hash_quads",
"Prims.eq2",
"Prims.int",
"FStar.Seq.Base.length",
"Prims.squash",
"Vale.SHA.SHA_helpers.hash256",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_hash_to_bytes (s: seq quad32)
: Lemma (requires length s == 2)
(ensures make_ordered_hash s.[ 0 ] s.[ 1 ] == le_bytes_to_hash (le_seq_quad32_to_bytes s)) =
| lemma_le_bytes_to_hash_quads s;
assert (equal (make_ordered_hash s.[ 0 ] s.[ 1 ]) (le_bytes_to_hash (le_seq_quad32_to_bytes s)));
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Mod_cr0 | val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Mod_cr0 () =
(va_ttrue ()) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 1335,
"start_col": 0,
"start_line": 1334
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Mod_cr0 () =
| (va_ttrue ()) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0 | val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code | val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code | let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
())))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 10,
"end_line": 1389,
"start_col": 0,
"start_line": 1387
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Ghash_buffer_body0 () =
| (va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil ()))
)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_Mod_cr0 | val va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | val va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 | let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 31,
"end_line": 1362,
"start_col": 0,
"start_line": 1360
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.l_Forall",
"Vale.PPC64LE.Machine_s.cr0_t",
"Prims.l_imp",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_cr0"
] | [] | false | false | false | true | true | let va_wp_Mod_cr0 (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
| (va_get_ok va_s0 /\
(forall (va_x_cr0: cr0_t).
let va_sM = va_upd_cr0 va_x_cr0 va_s0 in
va_get_ok va_sM ==> va_k va_sM (()))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_2way | val va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) | val va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) | let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 15,
"end_line": 516,
"start_col": 0,
"start_line": 511
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_MulAdd_unroll_2way",
"Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_2way",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_MulAdd_unroll_2way (in_b: buffer128) (index: nat) (h prev: poly) (data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
| (va_QProc (va_code_MulAdd_unroll_2way ())
([
va_Mod_vec 11;
va_Mod_vec 10;
va_Mod_vec 9;
va_Mod_vec 8;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 0;
va_Mod_reg 10
])
(va_wp_MulAdd_unroll_2way in_b index h prev data)
(va_wpProof_MulAdd_unroll_2way in_b index h prev data)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_1way | val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))) | val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))) | let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 167,
"start_col": 0,
"start_line": 151
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2_s.shift",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_1way"
] | [] | false | false | false | false | false | let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
| let va_mods:va_mods_t = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM))
64))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128
) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_MulAdd_unroll_2way | val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 508,
"start_col": 0,
"start_line": 498
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_2way",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way"
] | [] | false | false | false | false | false | let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index h prev data
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 11
va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([
va_Mod_vec 11;
va_Mod_vec 10;
va_Mod_vec 9;
va_Mod_vec 8;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 0;
va_Mod_reg 10
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_be_to_n_4 | val lemma_be_to_n_4 (s: seq4 nat8)
: Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) ==
be_bytes_to_nat32 s) | val lemma_be_to_n_4 (s: seq4 nat8)
: Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) ==
be_bytes_to_nat32 s) | let lemma_be_to_n_4 (s:seq4 nat8) : Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) == be_bytes_to_nat32 s)
=
let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc (==) {
f x <: nat ;
== { }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * f (slice x 0 3);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 + pow2 32 * f (slice x 0 0);
== {}
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
== {}
four_to_nat_unfold 8 (seq_to_four_BE s);
== {reveal_opaque (`%four_to_nat) four_to_nat}
be_bytes_to_nat32 s;
} | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 3,
"end_line": 796,
"start_col": 0,
"start_line": 768
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1)
#push-options "--max_fuel 1"
let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
)
#pop-options
let lemma_ws_computed_is_ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (vv (ws_computed b t) == ws_opaque b t)
=
lemma_ws_computed_is_ws b t;
Pervasives.reveal_opaque (`%ws) ws;
()
let ws_computed_quad32 (t:counter{t < size_k_w_256 - 3}) (block:block_w) : quad32 =
Mkfour (vv (ws_computed block t))
(vv (ws_computed block (t+1)))
(vv (ws_computed block (t+2)))
(vv (ws_computed block (t+3)))
let lemma_ws_computed_is_ws_quad32 (b:block_w) (t:counter{t < size_k_w_256 - 3}) :
Lemma (ws_computed_quad32 t b == ws_quad32 t b)
=
let w = ws_computed_quad32 t b in
let w' = ws_quad32 t b in
lemma_ws_computed_is_ws_opaque b t;
lemma_ws_computed_is_ws_opaque b (t+1);
lemma_ws_computed_is_ws_opaque b (t+2);
lemma_ws_computed_is_ws_opaque b (t+3);
()
#push-options "--z3rlimit 30"
let lemma_ws_computed_quad32 (t:counter{16 <= t /\ t < size_k_w_256 - 4}) (block:block_w) :
Lemma (let t_minus_16 = ws_quad32 (t-16) block in
let t_minus_15 = ws_quad32 (t-15) block in
let t_minus_7 = ws_quad32 (t - 7) block in
let t_minus_2 = ws_quad32 (t - 2) block in
let m1 = add_mod_quad32 t_minus_16 (_sigma0_quad32 t_minus_15) in
let m2 = add_mod_quad32 m1 t_minus_7 in
let m3 = add_mod_quad32 m2 (_sigma1_quad32 t_minus_2) in
m3 == ws_computed_quad32 t block )
=
()
#pop-options
let sha256_msg1_spec_t (t:counter{t < size_k_w_256 - 1}) (block:block_w) : quad32 =
let init = ws_quad32 t block in
let next = ws_quad32 (t + 1) block in
let msg1 = add_mod_quad32 init (_sigma0_quad32 next) in
msg1
#push-options "--ifuel 1"
let lemma_sha256_msg1_spec_t_partial (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 - 3)
(ensures ws_partial t block == sha256_msg1_spec_t (t-16) block)
=
ws_partial_reveal ();
let init = ws_quad32 (t-16) block in
let next = ws_quad32 (t-15) block in
lemma_add_wrap_quad32_is_add_mod_quad32 init (_sigma0_quad32 next);
()
#pop-options
let lemma_sha256_msg1_spec_t (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w_256 - 4 /\
src1 == ws_quad32 t block /\
src2.lo0 == ws_opaque block (t+4))
(ensures sha256_msg1_spec_t t block == sha256_msg1_spec src1 src2)
=
sha256_msg1_spec_reveal ();
()
#push-options "--z3rlimit 70"
let lemma_sha256_step2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1) /\
(let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
src1 == add_mod_quad32 w mid))
(ensures sha256_msg2_spec src1 src2 == ws_computed_quad32 t block)
=
sha256_msg2_spec_reveal ();
let w = sha256_msg1_spec_t (t-16) block in
let mid = ws_quad32 (t-7) block in
let final = sha256_msg2_spec src1 src2 in
lemma_ws_computed_is_ws_opaque block (t);
lemma_ws_computed_is_ws_opaque block (t+1);
()
#pop-options
// Top-level proof for the SHA256_msg2 instruction
let lemma_sha256_msg2 (src1 src2:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) - 3 /\
(let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
src1 == add_wrap_quad32 step1 t_minus_7 /\
src2.hi2 == ws_opaque block (t-2) /\
src2.hi3 == ws_opaque block (t-1)))
(ensures sha256_msg2_spec src1 src2 == ws_quad32 t block)
=
let step1 = ws_partial t block in
let t_minus_7 = ws_quad32 (t-7) block in
lemma_sha256_msg1_spec_t_partial t block;
// ==> step1 == sha256_msg1_spec_t (t-16) block
lemma_add_wrap_quad32_is_add_mod_quad32 step1 t_minus_7;
lemma_sha256_step2 src1 src2 t block;
lemma_ws_computed_is_ws_quad32 block t;
()
(* Abbreviations and lemmas for the code itself *)
#reset-options "--z3rlimit 20 --max_fuel 1"
let lemma_quads_to_block qs
=
reveal_opaque (`%seq_four_to_seq_LE) (seq_four_to_seq_LE #nat32);
reveal_opaque (`%ws) ws
#reset-options "--max_fuel 0 --max_ifuel 0"
let translate_hash_update (h0 h1 h0' h1' a0 a1:quad32) : Lemma
(requires h0' == add_wrap_quad32 a0 h0 /\
h1' == add_wrap_quad32 a1 h1)
(ensures (
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
mapped == h'))
=
let h = make_hash h0 h1 in
let a = make_hash a0 a1 in
let h' = make_hash h0' h1' in
let open Lib.IntTypes in
let mapped = Spec.Loops.seq_map2 ( +. ) h a in
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
assert (equal mapped h');
()
unfold let shuffle_opaque = shuffle
let update_block (hash:hash256) (block:block_w): Tot (hash256) =
let hash_1 = shuffle_opaque SHA2_256 hash block in
let open Lib.IntTypes in
Spec.Loops.seq_map2 ( +. ) hash hash_1
#push-options "--z3cliopt smt.arith.nl=true" (* FIXME: Seemingly needed after fix to #2894 in F*, but should not be *)
let lemma_update_block_equiv (hash:hash256) (block:bytes{length block = block_length}) :
Lemma (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block) == update SHA2_256 hash block)
=
Pervasives.reveal_opaque (`%Spec.SHA2.update) Spec.SHA2.update;
Pervasives.reveal_opaque (`%Spec.SHA2.shuffle) Spec.SHA2.shuffle;
assert (equal (update_block hash (words_of_bytes SHA2_256 #(block_word_length SHA2_256) block)) (update SHA2_256 hash block));
()
#pop-options
let update_lemma (src1 src2 src1' src2' h0 h1:quad32) (block:block_w) : Lemma
(requires (let hash_orig = make_hash h0 h1 in
make_hash src1 src2 ==
Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig /\
src1' == add_wrap_quad32 src1 h0 /\
src2' == add_wrap_quad32 src2 h1))
(ensures (let hash_orig = make_hash h0 h1 in
make_hash src1' src2' == update_block hash_orig block))
=
let hash_orig = make_hash h0 h1 in
let hash_1 = shuffle_opaque SHA2_256 hash_orig block in
Pervasives.reveal_opaque (`%shuffle) shuffle;
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let rec f (i:nat{i <= 64}) : Lemma (
Spec.Loops.repeat_range 0 i (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 i (shuffle_core SHA2_256 block) hash_orig)
=
if i = 0 then (
Spec.Loops.repeat_range_base 0 (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_base 0 (shuffle_core SHA2_256 block) hash_orig
) else (
f (i - 1);
Spec.Loops.repeat_range_induction 0 i (shuffle_core_opaque block) hash_orig;
Spec.Loops.repeat_range_induction 0 i (shuffle_core SHA2_256 block) hash_orig
)
in
f 64;
(*
let h = make_hash src1 src2 in
assert (forall (block:block_w) (hash:hash256) . FStar.FunctionalExtensionality.feq (shuffle_core_opaque block hash) (shuffle_core_opaque_aux SHA2_256 block hash));
//assert (forall (block:block_w) . (shuffle_core_opaque block) == (shuffle_core_opaque_aux SHA2_256 block));
assert (shuffle_core_opaque == shuffle_core_opaque_aux SHA2_256);
assert (shuffle_core_opaque == shuffle_core SHA2_256);
assert (shuffle_core_opaque block == shuffle_core SHA2_256 block);
assert (Spec.Loops.repeat_range 0 64 (shuffle_core_opaque block) hash_orig ==
Spec.Loops.repeat_range 0 64 (shuffle_core SHA2_256 block) hash_orig);
assert (make_hash src1 src2 == shuffle SHA2_256 hash_orig block);
assert (make_hash src1 src2 == shuffle_opaque SHA2_256 hash_orig block);
*)
translate_hash_update src1 src2 src1' src2' h0 h1;
shuffle_is_shuffle_pre SHA2_256 hash_orig block;
assert (equal (make_hash src1' src2') (update_block hash_orig block));
()
let lemma_le_bytes_to_seq_quad32_empty (b:seq nat8) : Lemma
(requires b == empty)
(ensures le_bytes_to_seq_quad32 b == empty)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
assert (equal (le_bytes_to_seq_quad32 b) empty)
let lemma_le_bytes_to_seq_quad32_length (b:seq nat8) : Lemma
(requires length b % 16 == 0)
(ensures length (le_bytes_to_seq_quad32 b) == length b / 16)
=
reveal_opaque (`%le_bytes_to_seq_quad32) le_bytes_to_seq_quad32;
()
#push-options "--max_fuel 1" // Without this, F* refuses to do even one unfolding of recursive functions :(
let lemma_slice_commutes_reverse_bytes_nat32_quad32_seq (s:seq quad32) (pivot:nat) : Lemma
(requires pivot <= length s)
(ensures slice (reverse_bytes_nat32_quad32_seq s) 0 pivot == reverse_bytes_nat32_quad32_seq (slice s 0 pivot))
=
let rs = reverse_bytes_nat32_quad32_seq s in
let srs = slice (reverse_bytes_nat32_quad32_seq s) 0 pivot in
let ss = slice s 0 pivot in
let rss = reverse_bytes_nat32_quad32_seq ss in
if pivot = 0 then (
assert (equal ss empty);
assert (equal srs empty);
assert (equal empty (reverse_bytes_nat32_quad32_seq empty));
()
) else (
assert (equal srs rss)
)
// One level of expansion that we can use in places that can't use fuel
let lemma_update_multi_quads_unfold (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s >= 4)
(ensures (let prefix, qs = split s (length s - 4) in
let h_prefix = update_multi_quads prefix hash_orig in
let hash = update_block h_prefix (quads_to_block qs) in
update_multi_quads s hash_orig == hash))
=
()
let lemma_update_multi_quads_short (s:seq quad32) (hash_orig:hash256) : Lemma
(requires length s < 4)
(ensures update_multi_quads s hash_orig == hash_orig)
=
()
let update_multi_one (h:hash256) (b:bytes_blocks {length b = block_length}) : Lemma
(ensures (update_multi SHA2_256 h () b == update SHA2_256 h b)) =
update_multi_update SHA2_256 h b
#pop-options
friend Lib.ByteSequence | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3",
"smt.arith.nl=true"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: Vale.Def.Words.Seq_s.seq4 Vale.Def.Words_s.nat8
-> FStar.Pervasives.Lemma
(ensures
Lib.ByteSequence.nat_from_bytes_be (Vale.Def.Words.Seq_s.seq_nat8_to_seq_uint8 s) ==
Vale.Def.Types_s.be_bytes_to_nat32 s) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Words.Seq_s.seq4",
"Vale.Def.Words_s.nat8",
"FStar.Calc.calc_finish",
"Prims.nat",
"Prims.eq2",
"Vale.Def.Types_s.be_bytes_to_nat32",
"Prims.Cons",
"FStar.Preorder.relation",
"Prims.Nil",
"Prims.unit",
"FStar.Calc.calc_step",
"Vale.Def.Words.Four_s.four_to_nat_unfold",
"Vale.Def.Words.Seq_s.seq_to_four_BE",
"Prims.op_Addition",
"FStar.Seq.Base.index",
"FStar.Mul.op_Star",
"Prims.pow2",
"FStar.Seq.Base.slice",
"FStar.UInt8.t",
"FStar.UInt8.v",
"FStar.Seq.Properties.last",
"FStar.Calc.calc_init",
"FStar.Calc.calc_pack",
"Prims.squash",
"FStar.Pervasives.reveal_opaque",
"Vale.Def.Words_s.four",
"Vale.Def.Words_s.natN",
"Vale.Def.Words.Four_s.four_to_nat",
"Lib.Sequence.seq",
"Lib.IntTypes.int_t",
"Lib.IntTypes.U8",
"Lib.IntTypes.SEC",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.op_Multiply",
"Lib.Sequence.length",
"Lib.ByteSequence.nat_from_intseq_be_",
"FStar.Seq.Base.seq",
"Vale.Def.Words.Seq_s.seq_nat8_to_seq_uint8",
"FStar.Pervasives.assert_norm",
"Prims.op_Equality",
"Prims.int",
"Prims._assert",
"Prims.l_True",
"Prims.l_or",
"Lib.IntTypes.uint_t",
"Vale.Def.Words_s.pow2_32",
"Lib.ByteSequence.nat_from_bytes_be",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_be_to_n_4 (s: seq4 nat8)
: Lemma
(Lib.ByteSequence.nat_from_bytes_be #Lib.IntTypes.SEC (seq_nat8_to_seq_uint8 s) ==
be_bytes_to_nat32 s) =
| let open Lib.IntTypes in
let open Vale.Def.Words.Four_s in
assert (pow2 8 = 0x100);
assert (pow2 16 = 0x10000);
assert_norm (pow2 24 = 0x1000000);
let x = seq_nat8_to_seq_uint8 s in
let f = Lib.ByteSequence.nat_from_intseq_be_ #U8 #SEC in
calc ( == ) {
f x <: nat;
( == ) { () }
FStar.UInt8.v (last x) + pow2 8 * f (slice x 0 3);
( == ) { () }
index s 3 + pow2 8 * f (slice x 0 3);
( == ) { () }
index s 3 + pow2 8 * index s 2 + pow2 16 * f (slice x 0 2);
( == ) { () }
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * f (slice x 0 1);
( == ) { () }
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0 +
pow2 32 * f (slice x 0 0);
( == ) { () }
index s 3 + pow2 8 * index s 2 + pow2 16 * index s 1 + pow2 24 * index s 0;
( == ) { () }
four_to_nat_unfold 8 (seq_to_four_BE s);
( == ) { reveal_opaque (`%four_to_nat) four_to_nat }
be_bytes_to_nat32 s;
} | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_sha256_msg1 | val lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block) | val lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w_256 /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block) | let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
() | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 4,
"end_line": 457,
"start_col": 0,
"start_line": 445
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30" | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 30,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
dst: Vale.Def.Types_s.quad32 ->
src: Vale.Def.Types_s.quad32 ->
t: Vale.SHA.SHA_helpers.counter ->
block: Vale.SHA.SHA_helpers.block_w
-> FStar.Pervasives.Lemma
(requires
16 <= t /\ t < Vale.SHA.SHA_helpers.size_k_w_256 /\
dst == Vale.SHA.SHA_helpers.ws_quad32 (t - 16) block /\
Mkfour?.lo0 src == Vale.SHA.SHA_helpers.ws_opaque block (t - 12))
(ensures
Vale.X64.CryptoInstructions_s.sha256_msg1_spec dst src ==
Vale.SHA.SHA_helpers.ws_partial t block) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.Def.Types_s.quad32",
"Vale.SHA.SHA_helpers.counter",
"Vale.SHA.SHA_helpers.block_w",
"Prims.unit",
"Vale.SHA.SHA_helpers.ws_partial_reveal",
"Vale.SHA.SHA_helpers.lemma_add_wrap_quad32_is_add_mod_quad32",
"Vale.SHA.SHA_helpers._sigma0_quad32",
"Vale.SHA.SHA_helpers.ws_quad32",
"Prims.op_Subtraction",
"Vale.X64.CryptoInstructions_s.sha256_msg1_spec_reveal",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.op_LessThan",
"Spec.SHA2.size_k_w",
"Spec.Hash.Definitions.SHA2_256",
"Prims.eq2",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.__proj__Mkfour__item__lo0",
"Vale.Def.Types_s.nat32",
"Vale.SHA.SHA_helpers.ws_opaque",
"Prims.squash",
"Vale.X64.CryptoInstructions_s.sha256_msg1_spec",
"Vale.SHA.SHA_helpers.ws_partial",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let lemma_sha256_msg1 (dst src: quad32) (t: counter) (block: block_w)
: Lemma
(requires
16 <= t /\ t < size_k_w (SHA2_256) /\ dst == ws_quad32 (t - 16) block /\
src.lo0 == ws_opaque block (t - 12))
(ensures sha256_msg1_spec dst src == ws_partial t block) =
| sha256_msg1_spec_reveal ();
let init = ws_quad32 (t - 16) block in
let sigma0_in = ws_quad32 (t - 15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
() | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_Reduce | val va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ())) | val va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ())) | let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 7,
"end_line": 714,
"start_col": 0,
"start_line": 711
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | f: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Reduce ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GHash.va_code_Reduce",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_Reduce",
"Vale.AES.PPC64LE.GHash.va_wpProof_Reduce",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Reduce (f: poly) : (va_quickCode unit (va_code_Reduce ())) =
| (va_QProc (va_code_Reduce ())
([
va_Mod_vec 1;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 9;
va_Mod_vec 2;
va_Mod_vec 8;
va_Mod_vec 10;
va_Mod_vec 0
])
(va_wp_Reduce f)
(va_wpProof_Reduce f)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_MulAdd_unroll_2way | val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))) | val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))) | let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 457,
"start_col": 0,
"start_line": 440
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2_s.shift",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_2way"
] | [] | false | false | false | false | false | let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
| let va_mods:va_mods_t =
[
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
]
in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM))
64))
(Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128
) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Reduce | val va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ())) | val va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ())) | let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(())))))))))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 29,
"end_line": 615,
"start_col": 0,
"start_line": 555
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ()))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_mods: Vale.PPC64LE.QuickCode.va_mods_t -> f: Vale.Math.Poly2_s.poly
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Reduce ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsVector.va_quick_Vspltisw",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2.Lemmas.lemma_mask_is_mod",
"Vale.Math.Poly2_s.shift",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2.lemma_shift_is_mul",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2.Bits.lemma_of_to_quad32",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd",
"Vale.AES.PPC64LE.PolyOps.va_quick_VSwap",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow",
"Prims.op_Minus",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2.Lemmas.lemma_shift_is_div",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_High64ToLow",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2.lemma_add_commute",
"Prims.int",
"Prims.op_Addition",
"Vale.Math.Poly2_s.poly_index",
"Vale.Math.Poly2_s.reverse",
"Prims.op_Subtraction",
"Vale.Math.Poly2.swap",
"Vale.AES.GF128.lemma_reduce_rev",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Reduce"
] | [] | false | false | false | false | false | let va_qcode_Reduce (va_mods: va_mods_t) (f: poly) : (va_quickCode unit (va_code_Reduce ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in
let c:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63
in
let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in
let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in
let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in
let a:Vale.Math.Poly2_s.poly =
add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128)
in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0)
(fun (va_s: va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64)
(let va_arg39:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.mask a1 64 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1)
(fun (va_s: va_state) _ ->
let va_arg38:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 9))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8))
(fun (va_s: va_state) _ ->
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)
a1)
(fun (va_s: va_state) _ ->
let va_arg37:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.shift a1 (- 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
va_arg37)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4
)
(va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3))
(fun (va_s: va_state) _ ->
let va_arg36:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s)
in
let va_arg35:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.lemma_add_commute
va_arg35
va_arg36)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec
2)
(va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec
1)
(va_op_vec_opr_vec 2
))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow
(va_op_vec_opr_vec
2)
(va_op_vec_opr_vec
2)
(va_op_vec_opr_vec
8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd
(va_op_vec_opr_vec
1)
(va_op_vec_opr_vec
1)
(va_op_vec_opr_vec
4))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd
(va_op_vec_opr_vec
1)
(va_op_vec_opr_vec
1)
(va_op_vec_opr_vec
2))
(fun
(va_s:
va_state
)
_
->
let
va_arg34:Vale.Math.Poly2_s.poly
=
f
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun
(_:
unit
)
->
Vale.AES.GF128.lemma_reduce_rev
a0
a1
a2
va_arg34
64
)
(va_QEmpty
(()
))
))))))))))))
)))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_Reduce | val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))))))) | val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))))))) | let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 664,
"start_col": 0,
"start_line": 644
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state -> f: Vale.Math.Poly2_s.poly
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_Reduce",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2_s.reverse",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.shift",
"Prims.op_Minus",
"Vale.Math.Poly2_s.monomial",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_Reduce"
] | [] | false | false | false | false | false | let va_lemma_Reduce va_b0 va_s0 f =
| let va_mods:va_mods_t =
[
va_Mod_vec 1;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 9;
va_Mod_vec 2;
va_Mod_vec 8;
va_Mod_vec 10;
va_Mod_vec 0;
va_Mod_ok
]
in
let va_qc = va_qcode_Reduce va_mods f in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Reduce ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let g:Vale.Math.Poly2_s.poly = add (Vale.Math.Poly2_s.monomial 128) f in
let c:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (- 1)) 63
in
let a0:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let a1:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let a2:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in
let a:Vale.Math.Poly2_s.poly =
add (add a0 (Vale.Math.Poly2_s.shift a1 64)) (Vale.Math.Poly2_s.shift a2 128)
in
label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 1;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 9;
va_Mod_vec 2;
va_Mod_vec 8;
va_Mod_vec 10;
va_Mod_vec 0;
va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0 | val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code | val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code | let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 66,
"end_line": 1626,
"start_col": 0,
"start_line": 1624
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.Decls.va_While",
"Vale.PPC64LE.Decls.va_cmp_ge",
"Vale.PPC64LE.Decls.va_op_cmp_reg",
"Vale.PPC64LE.Decls.va_const_cmp",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Ghash_buffer_while0 () =
| (va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2))
(va_Block (va_CCons (va_code_Ghash_buffer_body0 ()) (va_CNil ()))))
(va_CNil ()))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_while0 | val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 73,
"end_line": 1631,
"start_col": 0,
"start_line": 1630
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_body0",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Ghash_buffer_while0 () =
| (va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) | false |
Vale.SHA.SHA_helpers.fst | Vale.SHA.SHA_helpers.lemma_ws_computed_is_ws | val lemma_ws_computed_is_ws (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (ws_computed b t == ws SHA2_256 b t) | val lemma_ws_computed_is_ws (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (ws_computed b t == ws SHA2_256 b t) | let lemma_ws_computed_is_ws (b:block_w) (t:counter{t < size_k_w_256}) :
Lemma (ws_computed b t == ws SHA2_256 b t)
=
Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256 then (
assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
()
) else (
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()
) | {
"file_name": "vale/code/crypto/sha/Vale.SHA.SHA_helpers.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 3,
"end_line": 510,
"start_col": 0,
"start_line": 493
} | module Vale.SHA.SHA_helpers
open FStar.Mul
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Spec.SHA2
open Spec.SHA2.Lemmas
open Spec.Agile.Hash
open Spec.Hash.Definitions
open Spec.Hash.Lemmas
open Vale.X64.CryptoInstructions_s
open Vale.Def.Types_s
open Vale.Def.Words_s
open FStar.Seq
open FStar.UInt32 // Interop with UInt-based SHA spec
open Vale.Arch.Types
friend Spec.SHA2
friend Spec.SHA2.Lemmas
friend Vale.X64.CryptoInstructions_s
#reset-options "--max_fuel 0 --max_ifuel 0"
// Define these specific converters here, so that F* only reasons about
// the correctness of the conversion once, rather that at every call site
let vv (u:Lib.IntTypes.uint32) : nat32 = Lib.IntTypes.v u
let to_uint32 (n:nat32) : Lib.IntTypes.uint32 = Lib.IntTypes.u32 n
let word = Lib.IntTypes.uint32
let k = (Spec.SHA2.k0 SHA2_256)
let reveal_word () = ()
val add_mod_lemma:x:Lib.IntTypes.uint32 -> y:Lib.IntTypes.uint32 ->
Lemma (add_mod x y == Lib.IntTypes.(x +. y))
[SMTPat (Lib.IntTypes.(x +. y))]
let add_mod_lemma x y = ()
unfold let ws_opaque_aux = ws
let ws_opaque (b:block_w) (t:counter{t < size_k_w_256}) : nat32 =
vv (ws_opaque_aux SHA2_256 b t)
unfold let shuffle_core_opaque_aux = shuffle_core
let shuffle_core_opaque (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}):hash256 =
shuffle_core_opaque_aux SHA2_256 block hash t
[@"opaque_to_smt"] let update_multi_opaque_aux = opaque_make update_multi
irreducible let update_multi_reveal = opaque_revealer (`%update_multi_opaque_aux) update_multi_opaque_aux update_multi
let update_multi_opaque (hash:hash256) (blocks:bytes_blocks):hash256 =
(update_multi_opaque_aux SHA2_256 hash () blocks)
let update_multi_transparent (hash:hash256) (blocks:bytes_blocks) =
update_multi SHA2_256 hash () blocks
let add_mod32 (x:word) (y:nat32) : nat32 = vv (add_mod x (to_uint32 y))
let word_to_nat32 = vv
let nat32_to_word = to_uint32
let byte_to_nat8 = UInt8.v
let nat8_to_byte = UInt8.uint_to_t
let make_hash_def (abef cdgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abef.hi3 /\
hash.[1] == to_uint32 abef.hi2 /\
hash.[2] == to_uint32 cdgh.hi3 /\
hash.[3] == to_uint32 cdgh.hi2 /\
hash.[4] == to_uint32 abef.lo1 /\
hash.[5] == to_uint32 abef.lo0 /\
hash.[6] == to_uint32 cdgh.lo1 /\
hash.[7] == to_uint32 cdgh.lo0
} ) =
let a = to_uint32 abef.hi3 in
let b = to_uint32 abef.hi2 in
let c = to_uint32 cdgh.hi3 in
let d = to_uint32 cdgh.hi2 in
let e = to_uint32 abef.lo1 in
let f = to_uint32 abef.lo0 in
let g = to_uint32 cdgh.lo1 in
let h = to_uint32 cdgh.lo0 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
//assert_norm (index hash 2 == c);
hash
[@"opaque_to_smt"] let make_hash = opaque_make make_hash_def
irreducible let make_hash_reveal = opaque_revealer (`%make_hash) make_hash make_hash_def
let make_ordered_hash_def (abcd efgh:quad32) :
(hash:words_state SHA2_256 {
length hash == 8 /\
hash.[0] == to_uint32 abcd.lo0 /\
hash.[1] == to_uint32 abcd.lo1 /\
hash.[2] == to_uint32 abcd.hi2 /\
hash.[3] == to_uint32 abcd.hi3 /\
hash.[4] == to_uint32 efgh.lo0 /\
hash.[5] == to_uint32 efgh.lo1 /\
hash.[6] == to_uint32 efgh.hi2 /\
hash.[7] == to_uint32 efgh.hi3
})
=
let a = to_uint32 abcd.lo0 in
let b = to_uint32 abcd.lo1 in
let c = to_uint32 abcd.hi2 in
let d = to_uint32 abcd.hi3 in
let e = to_uint32 efgh.lo0 in
let f = to_uint32 efgh.lo1 in
let g = to_uint32 efgh.hi2 in
let h = to_uint32 efgh.hi3 in
let l = [a; b; c; d; e; f; g; h] in
assert_norm (List.length l == 8);
let hash = seq_of_list l in
assert (length hash == 8);
elim_of_list l;
hash
[@"opaque_to_smt"] let make_ordered_hash = opaque_make make_ordered_hash_def
irreducible let make_ordered_hash_reveal = opaque_revealer (`%make_ordered_hash) make_ordered_hash make_ordered_hash_def
let shuffle_core_properties (block:block_w) (hash:hash256) (t:counter{t < size_k_w_256}) :
Lemma(let h = shuffle_core_opaque block hash t in
let open Lib.IntTypes in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
h.[0] == t1 +. t2 /\
h.[1] == a0 /\
h.[2] == b0 /\
h.[3] == c0 /\
h.[4] == d0 +. t1 /\
h.[5] == e0 /\
h.[6] == f0 /\
h.[7] == g0)
=
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
let h = shuffle_core SHA2_256 block hash t in
let a0 = hash.[0] in
let b0 = hash.[1] in
let c0 = hash.[2] in
let d0 = hash.[3] in
let e0 = hash.[4] in
let f0 = hash.[5] in
let g0 = hash.[6] in
let h0 = hash.[7] in
let t1 = h0 +. (_Sigma1 SHA2_256 e0) +. (_Ch SHA2_256 e0 f0 g0) +. (k0 SHA2_256).[t] +. (ws SHA2_256 block t) in
let t2 = (_Sigma0 SHA2_256 a0) +. (_Maj SHA2_256 a0 b0 c0) in
let l = [ t1 +. t2; a0; b0; c0; d0 +. t1; e0; f0; g0 ] in
assert (h == seq_of_list l);
elim_of_list l;
()
let sha256_rnds2_spec_update_quad32 (abef cdgh:quad32) (wk:UInt32.t) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let a', b', c', d', e', f', g', h' = sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3] hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let abef' = Mkfour (vv f') (vv e') (vv b') (vv a') in
let cdgh' = Mkfour (vv h') (vv g') (vv d') (vv c') in
(abef', cdgh')
let sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) : quad32 =
let abef', cdgh' = sha256_rnds2_spec_update_quad32 src2 src1 (to_uint32 wk.lo0) in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' (to_uint32 wk.lo1) in
abef''
let lemma_sha256_rnds2_spec_quad32 (src1 src2 wk:quad32) :
Lemma (sha256_rnds2_spec src1 src2 wk == sha256_rnds2_spec_quad32 src1 src2 wk)
=
sha256_rnds2_spec_reveal ();
()
let lemma_add_mod_commutes (x y:UInt32.t) :
Lemma (add_mod x y == add_mod y x)
=
()
(*
let lemma_add_mod32_associates (x y z:int) :
Lemma ( ((x + y % pow2_32) + z) % pow2_32 == (x + ((y + z) % pow2_32)) % pow2_32 )
=
()
*)
let lemma_add_mod_associates_U32 (x y z:UInt32.t) :
Lemma (add_mod x (add_mod y z) == add_mod (add_mod x y) z)
=
let open Lib.IntTypes in
calc (==) {
v (x +. (y +. z));
(==) { }
(v x + (v y + v z) % pow2 32) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v x) (v y + v z) (pow2 32) }
((v x + v y) + v z) % pow2 32;
(==) { FStar.Math.Lemmas.lemma_mod_add_distr (v z) (v x + v y) (pow2 32) }
((v x + v y) % pow2 32 + v z) % pow2 32;
(==) { }
v ((x +. y) +. z);
};
v_inj (x +. (y +. z)) ((x +. y) +. z)
(*
assert_norm (pow2 32 == pow2_32);
//assert (add_mod y z == to_uint32 ((vv y + vv z) % pow2_32));
//assert (add_mod x (add_mod y z) == to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32));
lemma_add_mod32_associates (vv x) (vv y) (vv z);
//assert (to_uint32 ((vv x + vv (to_uint32 ((vv y + vv z) % pow2_32))) % pow2_32) ==
// to_uint32 (((vv x + vv y % pow2_32) + vv z) % pow2_32));
*)
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_wrap_is_add_mod (n0 n1:nat32) :
Lemma (add_wrap n0 n1 == vv (add_mod (to_uint32 n0) (to_uint32 n1)))
=
assert_norm (pow2 32 == pow2_32);
()
let add_wrap_commutes (x y:nat32) :
Lemma(add_wrap x y == add_wrap y x)
=
()
// Walk F* through the math steps required to rearrange all of the add_mods
let lemma_add_mod_a (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
(add_mod (_Maj SHA2_256 a b c)
(_Sigma0 SHA2_256 a))))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let t2 = add_mod (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c) in
let core = add_mod t1 t2 in
lemma_add_mod_commutes (_Sigma0 SHA2_256 a) (_Maj SHA2_256 a b c);
assert (t2 == add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
assert (t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a));
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
// ==> add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk)
lemma_add_mod_commutes (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g);
// ==> add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk)
lemma_add_mod_associates_U32 (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)));
assert (core == add_mod (add_mod (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e)) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a)))));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h (add_mod (_Maj SHA2_256 a b c) (_Sigma0 SHA2_256 a))));
()
let lemma_add_mod_e (a b c d e f g h wk:UInt32.t) :
Lemma ( let u = add_mod (_Ch SHA2_256 e f g)
(add_mod (_Sigma1 SHA2_256 e)
(add_mod wk
(add_mod h
d))) in
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
u == core)
=
let t1 = add_mod h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) in
let core = add_mod d t1 in
lemma_add_mod_commutes h (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk));
// t1 == add_mod (add_mod (_Sigma1 SHA2_256 e) (add_mod (_Ch SHA2_256 e f g) wk)) h);
lemma_add_mod_commutes d t1;
// core == add_mod t1 d
lemma_add_mod_associates_U32 (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g) wk;
assert (t1 == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h);
lemma_add_mod_associates_U32 (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) h d;
assert (core == add_mod (add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk) (add_mod h d));
lemma_add_mod_associates_U32 (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) wk (add_mod h d);
assert (core == add_mod (add_mod (_Sigma1 SHA2_256 e) (_Ch SHA2_256 e f g)) (add_mod wk (add_mod h d)));
lemma_add_mod_associates_U32 (_Ch SHA2_256 e f g) (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d));
assert (core == add_mod (_Ch SHA2_256 e f g) (add_mod (_Sigma1 SHA2_256 e) (add_mod wk (add_mod h d))));
()
let lemma_sha256_rnds2_spec_update_is_shuffle_core (hash:hash256) (wk:UInt32.t) (t:counter) (block:block_w) : Lemma
(requires t < size_k_w SHA2_256 /\ wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures (let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let u = seq_of_list [a'; b'; c'; d'; e'; f'; g'; h'] in
let c = shuffle_core_opaque block hash t in
u == c))
=
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash.[0] hash.[1] hash.[2] hash.[3]
hash.[4] hash.[5] hash.[6] hash.[7] wk in
let l:list Lib.IntTypes.uint32 = [a'; b'; c'; d'; e'; f'; g'; h'] in
let u:Seq.seq UInt32.t = seq_of_list l in
assert_norm (List.length l == 8);
let c = shuffle_core_opaque block hash t in
Pervasives.reveal_opaque (`%shuffle_core) shuffle_core;
Pervasives.reveal_opaque (`%ws) ws;
shuffle_core_properties block hash t;
elim_of_list l;
Classical.forall_intro_3 lemma_add_mod_associates_U32;
lemma_add_mod_a hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk;
lemma_add_mod_e hash.[0] hash.[1] hash.[2] hash.[3] hash.[4] hash.[5] hash.[6] hash.[7] wk
let sha256_rnds2_spec_update_core_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : (quad32 & quad32) =
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let abef' = Mkfour (vv hash1.[5]) (vv hash1.[4]) (vv hash1.[1]) (vv hash1.[0]) in
let cdgh' = Mkfour (vv hash1.[7]) (vv hash1.[6]) (vv hash1.[3]) (vv hash1.[2]) in
(abef', cdgh')
let lemma_rnds_quad32 (abef cdgh:quad32) (wk:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256}) : Lemma
(requires wk == to_uint32 (add_mod32 (k0 SHA2_256).[t] (ws_opaque block t)))
(ensures sha256_rnds2_spec_update_core_quad32 abef cdgh wk block t == sha256_rnds2_spec_update_quad32 abef cdgh wk)
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let a', b', c', d', e', f', g', h' =
sha256_rnds2_spec_update hash0.[0] hash0.[1] hash0.[2] hash0.[3]
hash0.[4] hash0.[5] hash0.[6] hash0.[7] wk in
let l = [a'; b'; c'; d'; e'; f'; g'; h'] in
elim_of_list l;
lemma_sha256_rnds2_spec_update_is_shuffle_core hash0 wk t block;
()
#push-options "--z3rlimit 30"
let lemma_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh:quad32) (wk0 wk1:UInt32.t) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires vv wk0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
vv wk1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
hash2 == make_hash abef'' cdgh''))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
lemma_rnds_quad32 abef cdgh wk0 block t;
lemma_rnds_quad32 abef' cdgh' wk1 block (t+1);
assert (equal (make_hash abef' cdgh') hash1);
assert (equal (make_hash abef'' cdgh'') hash2);
()
#pop-options
let sha256_rnds2_spec_update_quad32_x2_shifts (abef cdgh:quad32) (wk0 wk1:UInt32.t) :
Lemma ((let abef', cdgh' = sha256_rnds2_spec_update_quad32 abef cdgh wk0 in
let abef'', cdgh'' = sha256_rnds2_spec_update_quad32 abef' cdgh' wk1 in
cdgh'' == abef))
=
()
let sha256_rnds2_spec_quad32_is_shuffle_core_x2 (abef cdgh wk:quad32) (block:block_w) (t:counter{t < size_k_w_256 - 1}) : Lemma
(requires wk.lo0 == add_mod32 (k0 SHA2_256).[t] (ws_opaque block t) /\
wk.lo1 == add_mod32 (k0 SHA2_256).[t+1] (ws_opaque block (t+1)))
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
let abef' = sha256_rnds2_spec_quad32 cdgh abef wk in
hash2 == make_hash abef' abef))
=
lemma_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1) block t;
sha256_rnds2_spec_update_quad32_x2_shifts abef cdgh (to_uint32 wk.lo0) (to_uint32 wk.lo1);
()
let lemma_sha256_rnds2_two_steps (abef cdgh xmm0:quad32) (t:counter) (block:block_w) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (vv (k0 SHA2_256).[t] ) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1)) )
(ensures (let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
hash2 == make_hash (sha256_rnds2_spec cdgh abef xmm0) abef))
=
let hash0 = make_hash abef cdgh in
let hash1 = shuffle_core_opaque block hash0 t in
let hash2 = shuffle_core_opaque block hash1 (t + 1) in
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
sha256_rnds2_spec_quad32_is_shuffle_core_x2 abef cdgh xmm0 block t;
lemma_sha256_rnds2_spec_quad32 cdgh abef xmm0;
()
// Top-level proof for the SHA256_rnds2 instruction
let lemma_sha256_rnds2 (abef cdgh xmm0:quad32) (t:counter) (block:block_w) (hash_in:hash256) : Lemma
(requires t + 1 < size_k_w_256 /\
xmm0.lo0 == add_wrap (word_to_nat32 k.[t]) (ws_opaque block t) /\
xmm0.lo1 == add_wrap (word_to_nat32 k.[t+1]) (ws_opaque block (t+1)) /\
make_hash abef cdgh == Spec.Loops.repeat_range 0 t (shuffle_core_opaque block) hash_in
)
(ensures make_hash (sha256_rnds2_spec cdgh abef xmm0) abef ==
Spec.Loops.repeat_range 0 (t+2) (shuffle_core_opaque block) hash_in)
=
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t] ) (ws_opaque block t);
lemma_add_wrap_is_add_mod (vv (k0 SHA2_256).[t+1]) (ws_opaque block (t+1));
lemma_sha256_rnds2_two_steps abef cdgh xmm0 t block;
Spec.Loops.repeat_range_induction 0 (t + 1) (shuffle_core_opaque block) hash_in;
Spec.Loops.repeat_range_induction 0 (t + 2) (shuffle_core_opaque block) hash_in;
()
(* Proof work for the SHA256_msg* instructions *)
let _sigma0_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma0 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma0 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma0 SHA2_256 (to_uint32 q.hi3)))
let _sigma1_quad32 (q:quad32) : quad32 =
Mkfour (vv (_sigma1 SHA2_256 (to_uint32 q.lo0)))
(vv (_sigma1 SHA2_256 (to_uint32 q.lo1)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi2)))
(vv (_sigma1 SHA2_256 (to_uint32 q.hi3)))
let ws_partial_def (t:counter) (block:block_w) : quad32 =
if 16 <= t && t < size_k_w_256 then
(let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
add_wrap_quad32 init sigma0_out)
else
Mkfour 0 0 0 0
let add_mod_quad32 (q0 q1:quad32) : quad32 =
Mkfour (vv (add_mod (to_uint32 q0.lo0) (to_uint32 q1.lo0)))
(vv (add_mod (to_uint32 q0.lo1) (to_uint32 q1.lo1)))
(vv (add_mod (to_uint32 q0.hi2) (to_uint32 q1.hi2)))
(vv (add_mod (to_uint32 q0.hi3) (to_uint32 q1.hi3)))
let lemma_add_wrap_quad32_is_add_mod_quad32 (q0 q1:quad32) :
Lemma (add_mod_quad32 q0 q1 == add_wrap_quad32 q0 q1)
=
FStar.Classical.forall_intro_2 lemma_add_wrap_is_add_mod;
()
#reset-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 30"
// Top-level proof for the SHA256_msg1 instruction
let lemma_sha256_msg1 (dst src:quad32) (t:counter) (block:block_w) : Lemma
(requires 16 <= t /\ t < size_k_w(SHA2_256) /\
dst == ws_quad32 (t-16) block /\
src.lo0 == ws_opaque block (t-12))
(ensures sha256_msg1_spec dst src == ws_partial t block)
=
sha256_msg1_spec_reveal ();
let init = ws_quad32 (t-16) block in
let sigma0_in = ws_quad32 (t-15) block in
let sigma0_out = _sigma0_quad32 sigma0_in in
lemma_add_wrap_quad32_is_add_mod_quad32 init sigma0_out;
ws_partial_reveal ();
()
#reset-options "--max_fuel 0 --max_ifuel 0"
let lemma_add_mod_ws_rearrangement (a b c d:UInt32.t) :
Lemma (let open Lib.IntTypes in
a +. b +. c +. d == d +. c +. b +. a)
=
let open Lib.IntTypes in
calc (==) {
a +. b +. c +. d;
(==) {}
(((a +. b) +. c) +. d);
(==) { lemma_add_mod_commutes ((a +. b) +. c) d;
lemma_add_mod_commutes (a +. b) c;
lemma_add_mod_commutes a b
}
d +. (c +. (b +. a));
(==) { lemma_add_mod_associates_U32 d c (b +. a);
lemma_add_mod_associates_U32 (d +. c) b a}
(((d +. c) +. b) +. a);
}
let ws_computed (b:block_w) (t:counter{t < size_k_w_256}): Tot (UInt32.t) =
if t < block_word_length SHA2_256 then to_uint32 (ws_opaque b t)
else
let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
let open Lib.IntTypes in
(t16 +. s0 +. t7 +. s1) | {
"checked_file": "/",
"dependencies": [
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.X64.CryptoInstructions_s.fst.checked",
"Vale.Lib.Seqs_s.fst.checked",
"Vale.Lib.Seqs.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Words.Seq_s.fsti.checked",
"Vale.Def.Words.Seq.fsti.checked",
"Vale.Def.Words.Four_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.Lemmas.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.SHA2.fst.checked",
"Spec.Loops.fst.checked",
"Spec.Hash.Lemmas.fsti.checked",
"Spec.Hash.Definitions.fst.checked",
"Spec.Agile.Hash.fsti.checked",
"prims.fst.checked",
"Lib.UpdateMulti.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.ByteSequence.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt32.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked",
"FStar.Math.Lemmas.fst.checked",
"FStar.List.fst.checked",
"FStar.Classical.fsti.checked",
"FStar.Calc.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.SHA.SHA_helpers.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.UInt32 // Interop with UInt-based SHA spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.UInt32",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Hash.Definitions",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.Agile.Hash",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Spec.SHA2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words.Seq_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.X64.CryptoInstructions_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.SHA",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
b: Vale.SHA.SHA_helpers.block_w ->
t: Vale.SHA.SHA_helpers.counter{t < Vale.SHA.SHA_helpers.size_k_w_256}
-> FStar.Pervasives.Lemma
(ensures
Vale.SHA.SHA_helpers.ws_computed b t == Spec.SHA2.Lemmas.ws Spec.Hash.Definitions.SHA2_256 b t
) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Vale.SHA.SHA_helpers.block_w",
"Vale.SHA.SHA_helpers.counter",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.SHA.SHA_helpers.size_k_w_256",
"Spec.Hash.Definitions.block_word_length",
"Spec.Hash.Definitions.SHA2_256",
"Prims.unit",
"Prims._assert",
"Prims.eq2",
"FStar.UInt32.t",
"Vale.SHA.SHA_helpers.to_uint32",
"Vale.SHA.SHA_helpers.ws_opaque",
"Spec.SHA2.Lemmas.ws",
"Vale.Def.Words_s.nat32",
"Vale.SHA.SHA_helpers.vv",
"Vale.SHA.SHA_helpers.ws_computed",
"Prims.bool",
"Vale.SHA.SHA_helpers.lemma_add_mod_ws_rearrangement",
"Spec.Hash.Definitions.word",
"Spec.SHA2._sigma0",
"Spec.SHA2._sigma1",
"Lib.IntTypes.int_t",
"Lib.IntTypes.U32",
"Lib.IntTypes.SEC",
"Prims.op_Subtraction",
"FStar.Pervasives.reveal_opaque",
"Spec.Hash.Definitions.sha2_alg",
"Spec.SHA2.block_w",
"Spec.SHA2.counter",
"Spec.SHA2.size_k_w",
"Prims.l_True",
"Prims.squash",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | false | false | true | false | false | let lemma_ws_computed_is_ws (b: block_w) (t: counter{t < size_k_w_256})
: Lemma (ws_computed b t == ws SHA2_256 b t) =
| Pervasives.reveal_opaque (`%ws) ws;
if t < block_word_length SHA2_256
then
(assert (vv (ws_computed b t) == ws_opaque b t);
assert (to_uint32 (ws_opaque b t) == ws SHA2_256 b t);
())
else
(let t16 = to_uint32 (ws_opaque b (t - 16)) in
let t15 = to_uint32 (ws_opaque b (t - 15)) in
let t7 = to_uint32 (ws_opaque b (t - 7)) in
let t2 = to_uint32 (ws_opaque b (t - 2)) in
let s1 = _sigma1 SHA2_256 t2 in
let s0 = _sigma0 SHA2_256 t15 in
lemma_add_mod_ws_rearrangement s1 t7 s0 t16;
()) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_GhashUnroll_n | val va_qcode_GhashUnroll_n
(va_mods: va_mods_t)
(exactly2: bool)
(in_b: buffer128)
(index: nat)
(h_BE y_prev: quad32)
(data: (seq quad32))
: (va_quickCode unit (va_code_GhashUnroll_n exactly2)) | val va_qcode_GhashUnroll_n
(va_mods: va_mods_t)
(exactly2: bool)
(in_b: buffer128)
(index: nat)
(h_BE y_prev: quad32)
(data: (seq quad32))
: (va_quickCode unit (va_code_GhashUnroll_n exactly2)) | let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 68,
"end_line": 854,
"start_col": 0,
"start_line": 822
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ())))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
exactly2: Prims.bool ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n exactly2) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Prims.bool",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.QuickCodes.if_code",
"Vale.PPC64LE.QuickCodes.block",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_1way",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.PPC64LE.InsBasic.va_code_LoadImmShl64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Prims.op_Minus",
"Vale.PPC64LE.InsVector.va_code_Mtvsrws",
"Vale.PPC64LE.InsVector.va_code_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.QuickCodes.va_qInlineIf",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_2way",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.AES.PPC64LE.GHash.va_quick_MulAdd_unroll_1way",
"Vale.PPC64LE.InsVector.va_quick_Vspltisw",
"Vale.PPC64LE.InsBasic.va_quick_LoadImmShl64",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Prims.int",
"Vale.Def.Types_s.ishl",
"Prims.op_Modulus",
"Prims.op_Multiply",
"Prims.pow2",
"Vale.AES.Types_helpers.lemma_ishl_64",
"Vale.PPC64LE.InsVector.va_quick_Mtvsrws",
"Vale.PPC64LE.InsVector.va_quick_Vsldoi",
"Vale.AES.PPC64LE.GHash.va_quick_ReduceLast",
"Vale.Def.Words_s.nat64",
"Vale.PPC64LE.Machine_s.pow2_64",
"FStar.Seq.Base.length",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n"
] | [] | false | false | false | false | false | let va_qcode_GhashUnroll_n
(va_mods: va_mods_t)
(exactly2: bool)
(in_b: buffer128)
(index: nat)
(h_BE y_prev: quad32)
(data: (seq quad32))
: (va_quickCode unit (va_code_GhashUnroll_n exactly2)) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let n:Prims.nat = FStar.Seq.Base.length #quad32 data in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods
exactly2
(qblock va_mods
(fun (va_s: va_state) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data)
(va_QEmpty (()))))
(qblock va_mods
(fun (va_s: va_state) ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data)
(va_QEmpty (())))))
(fun (va_s: va_state) va_g ->
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (- 15872))
(fun (va_s: va_state) _ ->
let va_arg27:Vale.Def.Types_s.nat64 = (- 15872) `op_Modulus` pow2_64 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 0)
4)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8)
4)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data)
(va_QEmpty (()))))))))))) | false |
LowParse.Endianness.BitFields.fst | LowParse.Endianness.BitFields.bitfield_be_to_n_slice | val bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat)
: Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s))
(ensures
(let len = S.length s in
be_to_n s < pow2 (8 * len) /\
be_to_n (S.slice s i j) ==
BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)))) | val bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat)
: Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s))
(ensures
(let len = S.length s in
be_to_n s < pow2 (8 * len) /\
be_to_n (S.slice s i j) ==
BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)))) | let bitfield_be_to_n_slice
(s: S.seq U8.t)
(i: nat)
(j: nat)
: Lemma
(requires (
Seq.length s > 0 /\
i <= j /\ j <= S.length s
))
(ensures (
let len = S.length s in
be_to_n s < pow2 (8 * len) /\
be_to_n (S.slice s i j) == BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i))
))
= let len = S.length s in
lemma_be_to_n_is_bounded s;
slice_n_to_be_bitfield len (be_to_n s) i j | {
"file_name": "src/lowparse/LowParse.Endianness.BitFields.fst",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 44,
"end_line": 43,
"start_col": 0,
"start_line": 27
} | module LowParse.Endianness.BitFields
include LowParse.Endianness
module BF = LowParse.BitFields
module S = FStar.Seq
open FStar.Mul
let slice_n_to_be_bitfield
(len: pos)
(n: nat)
(i j: nat)
: Lemma
(requires (
i <= j /\
j <= len /\
n < pow2 (8 * len)
))
(ensures (
S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i)))
))
= slice_n_to_be len n i j;
BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i))
module U8 = FStar.UInt8 | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowParse.Endianness.fsti.checked",
"LowParse.BitFields.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "LowParse.Endianness.BitFields.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "LowParse.BitFields",
"short_module": "BF"
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | s: FStar.Seq.Base.seq FStar.UInt8.t -> i: Prims.nat -> j: Prims.nat
-> FStar.Pervasives.Lemma
(requires FStar.Seq.Base.length s > 0 /\ i <= j /\ j <= FStar.Seq.Base.length s)
(ensures
(let len = FStar.Seq.Base.length s in
FStar.Endianness.be_to_n s < Prims.pow2 (8 * len) /\
FStar.Endianness.be_to_n (FStar.Seq.Base.slice s i j) ==
LowParse.BitFields.get_bitfield (FStar.Endianness.be_to_n s)
(8 * (len - j))
(8 * (len - i)))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"FStar.Seq.Base.seq",
"FStar.UInt8.t",
"Prims.nat",
"LowParse.Endianness.BitFields.slice_n_to_be_bitfield",
"FStar.Endianness.be_to_n",
"Prims.unit",
"FStar.Endianness.lemma_be_to_n_is_bounded",
"FStar.Seq.Base.length",
"Prims.l_and",
"Prims.b2t",
"Prims.op_GreaterThan",
"Prims.op_LessThanOrEqual",
"Prims.squash",
"Prims.op_LessThan",
"Prims.pow2",
"FStar.Mul.op_Star",
"Prims.eq2",
"Prims.int",
"Prims.l_or",
"Prims.op_GreaterThanOrEqual",
"FStar.UInt.size",
"Prims.op_Subtraction",
"FStar.Seq.Base.slice",
"LowParse.BitFields.get_bitfield",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let bitfield_be_to_n_slice (s: S.seq U8.t) (i j: nat)
: Lemma (requires (Seq.length s > 0 /\ i <= j /\ j <= S.length s))
(ensures
(let len = S.length s in
be_to_n s < pow2 (8 * len) /\
be_to_n (S.slice s i j) ==
BF.get_bitfield #(8 * len) (be_to_n s) (8 * (len - j)) (8 * (len - i)))) =
| let len = S.length s in
lemma_be_to_n_is_bounded s;
slice_n_to_be_bitfield len (be_to_n s) i j | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_ReduceLast | val va_wpProof_ReduceLast : h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ReduceLast h_BE y_prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceLast ()) ([va_Mod_vec 10;
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec
0]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_ReduceLast : h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state ->
va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_ReduceLast h_BE y_prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_ReduceLast ()) ([va_Mod_vec 10;
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec
0]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 795,
"start_col": 0,
"start_line": 786
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_ReduceLast",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast"
] | [] | false | false | false | false | false | let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
| let va_sM, va_f0 = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([
va_Mod_vec 10;
va_Mod_vec 9;
va_Mod_vec 8;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
LowParse.Endianness.BitFields.fst | LowParse.Endianness.BitFields.slice_n_to_be_bitfield | val slice_n_to_be_bitfield (len: pos) (n i j: nat)
: Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len)))
(ensures
(S.slice (n_to_be len n) i j ==
n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))))) | val slice_n_to_be_bitfield (len: pos) (n i j: nat)
: Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len)))
(ensures
(S.slice (n_to_be len n) i j ==
n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))))) | let slice_n_to_be_bitfield
(len: pos)
(n: nat)
(i j: nat)
: Lemma
(requires (
i <= j /\
j <= len /\
n < pow2 (8 * len)
))
(ensures (
S.slice (n_to_be len n) i j == n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i)))
))
= slice_n_to_be len n i j;
BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i)) | {
"file_name": "src/lowparse/LowParse.Endianness.BitFields.fst",
"git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa",
"git_url": "https://github.com/project-everest/everparse.git",
"project_name": "everparse"
} | {
"end_col": 65,
"end_line": 23,
"start_col": 0,
"start_line": 9
} | module LowParse.Endianness.BitFields
include LowParse.Endianness
module BF = LowParse.BitFields
module S = FStar.Seq
open FStar.Mul | {
"checked_file": "/",
"dependencies": [
"prims.fst.checked",
"LowParse.Endianness.fsti.checked",
"LowParse.BitFields.fsti.checked",
"FStar.UInt8.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "LowParse.Endianness.BitFields.fst"
} | [
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": true,
"full_module": "FStar.Seq",
"short_module": "S"
},
{
"abbrev": true,
"full_module": "LowParse.BitFields",
"short_module": "BF"
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "LowParse.Endianness",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 1,
"max_fuel": 8,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | len: Prims.pos -> n: Prims.nat -> i: Prims.nat -> j: Prims.nat
-> FStar.Pervasives.Lemma (requires i <= j /\ j <= len /\ n < Prims.pow2 (8 * len))
(ensures
FStar.Seq.Base.slice (FStar.Endianness.n_to_be len n) i j ==
FStar.Endianness.n_to_be (j - i)
(LowParse.BitFields.get_bitfield n (8 * (len - j)) (8 * (len - i)))) | FStar.Pervasives.Lemma | [
"lemma"
] | [] | [
"Prims.pos",
"Prims.nat",
"LowParse.BitFields.get_bitfield_eq",
"FStar.Mul.op_Star",
"Prims.op_Subtraction",
"Prims.unit",
"LowParse.Endianness.slice_n_to_be",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Prims.op_LessThan",
"Prims.pow2",
"Prims.squash",
"Prims.eq2",
"FStar.Seq.Base.seq",
"FStar.UInt8.t",
"FStar.Seq.Base.slice",
"FStar.Endianness.n_to_be",
"LowParse.BitFields.get_bitfield",
"Prims.Nil",
"FStar.Pervasives.pattern"
] | [] | true | false | true | false | false | let slice_n_to_be_bitfield (len: pos) (n i j: nat)
: Lemma (requires (i <= j /\ j <= len /\ n < pow2 (8 * len)))
(ensures
(S.slice (n_to_be len n) i j ==
n_to_be (j - i) (BF.get_bitfield #(8 * len) n (8 * (len - j)) (8 * (len - i))))) =
| slice_n_to_be len n i j;
BF.get_bitfield_eq #(8 * len) n (8 * (len - j)) (8 * (len - i)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer | val va_code_Ghash_buffer : va_dummy:unit -> Tot va_code | val va_code_Ghash_buffer : va_dummy:unit -> Tot va_code | let va_code_Ghash_buffer () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6)
(va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n
false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))
(va_Block (va_CNil ()))) (va_CNil ())))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 54,
"end_line": 1897,
"start_col": 0,
"start_line": 1883
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec
9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_while0 ())) =
(va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_code | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_Block",
"Vale.PPC64LE.Decls.va_CCons",
"Vale.PPC64LE.InsBasic.va_code_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0",
"Vale.PPC64LE.Decls.va_IfElse",
"Vale.PPC64LE.Decls.va_cmp_gt",
"Vale.PPC64LE.Decls.va_op_cmp_reg",
"Vale.PPC64LE.Decls.va_const_cmp",
"Vale.PPC64LE.Decls.va_CNil",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n",
"Vale.PPC64LE.Decls.va_code"
] | [] | false | false | false | true | false | let va_code_Ghash_buffer () =
| (va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5)
Secret)
(va_CCons (va_code_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 12)
(va_op_reg_opr_reg 5)
(va_op_reg_opr_reg 10)
Secret)
(va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5))
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5))
(va_CCons (va_code_VSwap (va_op_vec_opr_vec 12)
(va_op_vec_opr_vec 12))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14)
(va_op_vec_opr_vec 12))
(va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 13)
(va_op_vec_opr_vec 12))
(va_CCons (va_code_Ghash_buffer_while0 ())
(va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6)
(va_const_cmp 0))
(va_Block (va_CCons (va_Block (va_CNil ()))
(va_CCons (va_code_GhashUnroll_n false
)
(va_CCons (va_Block (va_CNil ())
)
(va_CCons (va_Block (va_CNil
()))
(va_CNil ()))))))
(va_Block (va_CNil ())))
(va_CNil ())))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Reduce | val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 708,
"start_col": 0,
"start_line": 699
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
f: Vale.Math.Poly2_s.poly ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Reduce",
"Vale.AES.PPC64LE.GHash.va_code_Reduce"
] | [] | false | false | false | false | false | let va_wpProof_Reduce f va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 1
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 9
va_sM
(va_update_vec 2
va_sM
(va_update_vec 8
va_sM
(va_update_vec 10
va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([
va_Mod_vec 1;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 9;
va_Mod_vec 2;
va_Mod_vec 8;
va_Mod_vec 10;
va_Mod_vec 0
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_loop_body | val va_qcode_Ghash_buffer_loop_body
(va_mods: va_mods_t)
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) | val va_qcode_Ghash_buffer_loop_body
(va_mods: va_mods_t)
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) | let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (())))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 94,
"end_line": 1171,
"start_col": 0,
"start_line": 1109
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ())))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
old_len: Vale.PPC64LE.Memory.nat64 ->
index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.nat64",
"Prims.nat",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Machine_s.Block",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n",
"Vale.PPC64LE.InsBasic.va_code_AddImm",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsBasic.va_code_SubImm",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_qAssertSquash",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Prims.op_AmpAmp",
"Prims.op_LessThanOrEqual",
"FStar.Seq.Base.length",
"Vale.Def.Types_s.quad32",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Prims.op_Addition",
"Prims.squash",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.GHash.va_quick_GhashUnroll_n",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.op_Equality",
"Prims.l_Forall",
"Prims.l_imp",
"FStar.Seq.Base.op_At_Bar",
"Vale.AES.GHash_BE.lemma_ghash_incremental0_append",
"Vale.PPC64LE.QuickCodes.va_qAssert",
"FStar.Seq.Base.equal",
"FStar.Seq.Base.append",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.InsBasic.va_quick_AddImm",
"Vale.PPC64LE.InsBasic.va_quick_SubImm",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Decls.va_get_vec",
"FStar.Seq.Base.seq",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body"
] | [] | false | false | false | false | false | let va_qcode_Ghash_buffer_loop_body
(va_mods: va_mods_t)
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun
a_1906
(s_1907: (FStar.Seq.Base.seq a_1906))
(i_1908: Prims.nat)
(j_1909: Prims.nat)
->
let j_1869:Prims.nat = j_1909 in
Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869)
(Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_s)
in_b))
index
(index + 2))
(fun _ ->
let data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) =
FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_s)
in_b))
index
(index + 2)
in
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun
a_1906
(s_1907: (FStar.Seq.Base.seq a_1906))
(i_1908: Prims.nat)
(j_1909: Prims.nat)
->
let j_1869:Prims.nat = j_1909 in
Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869)
(Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))
)) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_s)
in_b))
0
index)
(fun _ ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true
in_b
index
h_BE
(Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
index))
data)
(fun (va_s: va_state) _ ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun
a_1906
(s_1907: (FStar.Seq.Base.seq a_1906))
(i_1908: Prims.nat)
(j_1909: Prims.nat)
->
let j_1869:Prims.nat = j_1909 in
Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869
)
(Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_s)
in_b))
0
index)
(fun _ ->
let va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) =
FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
index
in
let va_arg26:Vale.Def.Types_s.quad32 = va_get_vec 1 va_s in
let va_arg25:Vale.Def.Types_s.quad32 = va_get_vec 1 va_old_s in
let va_arg24:Vale.Def.Types_s.quad32 = y_prev in
let va_arg23:Vale.Def.Types_s.quad32 = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23
va_arg24
va_arg25
va_arg26
va_arg27
data)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun
a_1906
(s_1907: (FStar.Seq.Base.seq a_1906))
(i_1908: Prims.nat)
(j_1909: Prims.nat)
->
let j_1869:Prims.nat = j_1909 in
Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869)
(Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
index /\
(fun
a_1906
(s_1907: (FStar.Seq.Base.seq a_1906))
(i_1908: Prims.nat)
(j_1909: Prims.nat)
->
let j_1869:Prims.nat = j_1909 in
Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869)
(Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
(index + 2))
(fun _ ->
va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32
(FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
index)
data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s)
in_b))
0
(index + 2)))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7)
(va_op_reg_opr_reg 7)
32)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6)
(va_op_reg_opr_reg 6)
2)
(va_QEmpty (())))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer | val va_codegen_success_Ghash_buffer : va_dummy:unit -> Tot va_pbool | val va_codegen_success_Ghash_buffer : va_dummy:unit -> Tot va_pbool | let va_codegen_success_Ghash_buffer () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n
false) (va_ttrue ()))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 36,
"end_line": 1913,
"start_col": 0,
"start_line": 1900
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec
9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_while0 ())) =
(va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6)
(va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n
false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))
(va_Block (va_CNil ()))) (va_CNil ())))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_dummy: Prims.unit -> Vale.PPC64LE.Decls.va_pbool | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.Decls.va_pbool_and",
"Vale.PPC64LE.InsBasic.va_codegen_success_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_codegen_success_Load128_byte16_buffer_index",
"Vale.PPC64LE.InsVector.va_codegen_success_Vspltisw",
"Vale.AES.PPC64LE.PolyOps.va_codegen_success_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_codegen_success_Low64ToHigh",
"Vale.AES.PPC64LE.GHash.va_codegen_success_Ghash_buffer_while0",
"Vale.AES.PPC64LE.GHash.va_codegen_success_GhashUnroll_n",
"Vale.PPC64LE.Decls.va_ttrue",
"Vale.PPC64LE.Decls.va_pbool"
] | [] | false | false | false | true | false | let va_codegen_success_Ghash_buffer () =
| (va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5)
Secret)
(va_pbool_and (va_codegen_success_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 12)
(va_op_reg_opr_reg 5)
(va_op_reg_opr_reg 10)
Secret)
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 12)
(va_op_vec_opr_vec 12))
(va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 14)
(va_op_vec_opr_vec 12))
(va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec
13)
(va_op_vec_opr_vec 12))
(va_pbool_and (va_codegen_success_Ghash_buffer_while0 ())
(va_pbool_and (va_codegen_success_GhashUnroll_n false)
(va_ttrue ()))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_MulAdd_unroll_2way | val va_qcode_MulAdd_unroll_2way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) | val va_qcode_MulAdd_unroll_2way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) | let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (())))))))))))))))))))))))))))))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 60,
"end_line": 407,
"start_col": 0,
"start_line": 260
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ())))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h: Vale.Math.Poly2_s.poly ->
prev: Vale.Math.Poly2_s.poly ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.Math.Poly2_s.poly",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsBasic.va_code_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMul",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyMulHigh",
"Vale.AES.PPC64LE.PolyOps.va_code_VPolyAdd",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsBasic.va_quick_LoadImm64",
"Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer_index",
"Prims.op_Addition",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.AES.GHash_BE.gf128_power",
"Vale.AES.GF128.shift_key_1",
"Vale.AES.GF128_s.gf128_modulus_low_terms",
"Vale.AES.GHash_BE.g_power",
"Vale.AES.GHash_BE.lemma_gf128_power",
"Prims.b2t",
"Prims.op_LessThan",
"Vale.Math.Poly2_s.degree",
"Vale.Math.Poly2_s.zero",
"Vale.Math.Poly2.Lemmas.lemma_degree_negative",
"Vale.Math.Poly2_s.shift",
"Prims.op_Minus",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2.Lemmas.lemma_shift_is_div",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulLow",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMul",
"Prims.op_GreaterThanOrEqual",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2.Lemmas.lemma_div_mod_exact",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2.Lemmas.lemma_mask_is_mod",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyMulHigh",
"Vale.Math.Poly2.Lemmas.lemma_mod_mod",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.lemma_swap128_mask_shift",
"Vale.Math.Poly2_s.add",
"Vale.AES.GF128.lemma_Mul128",
"Vale.PPC64LE.QuickCodes.va_qAssert",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Vale.AES.PPC64LE.PolyOps.va_quick_VPolyAdd",
"Vale.Math.Poly2.lemma_add_associate",
"Vale.AES.GF128.lemma_Mul128_accum",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_MulAdd_unroll_2way"
] | [] | false | false | false | false | false | let va_qcode_MulAdd_unroll_2way
(va_mods: va_mods_t)
(in_b: buffer128)
(index: nat)
(h prev: poly)
(data: (seq quad32))
: (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let data_0:poly = pdata 0 in
let data_1:poly = pdata 1 in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7)
Secret
in_b
index)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7)
(va_op_reg_opr_reg 10)
Secret
in_b
(index + 1))
(fun (va_s: va_state) _ ->
let va_arg95:Vale.Math.Poly2_s.poly = h in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1)
(let va_arg94:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7
va_s))
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94)
(let va_arg93:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5))
(fun (va_s: va_state) _ ->
let va_arg92:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.monomial 64
in
let va_arg91:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1)
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91
va_arg92)
(let va_arg90:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_s)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90
64)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 6))
(fun (va_s: va_state) _ ->
let va_arg89:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.monomial 64
in
let va_arg88:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mod_mod
va_arg88
va_arg89)
(let va_arg87:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg87
64)
(let va_arg86:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power
h
1)
(Vale.Math.Poly2_s.monomial 64
)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg86
64)
(let va_arg85:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_swap128_mask_shift
va_arg85)
(let va_arg84:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg84
64)
(let va_arg83:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power
h
1)
(Vale.Math.Poly2_s.monomial
64))
(Vale.Math.Poly2_s.monomial
64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg83
64)
(let va_arg82:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
1
in
let va_arg81:Vale.Math.Poly2_s.poly
=
data_1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun
(_: unit)
->
Vale.AES.GF128.lemma_Mul128
va_arg81
va_arg82)
(va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
2
va_s
)
)
(Vale.Math.Poly2_s.shift
(
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
3
va_s
)
)
64
))
(Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
4
va_s
)
)
128) ==
Vale.AES.GHash_BE.ghash_unroll_back
h
prev
pdata
0
2
0)
(let
va_arg80:Vale.Math.Poly2_s.poly
=
h
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun
(_:
unit
)
->
Vale.AES.GHash_BE.lemma_gf128_power
va_arg80
2)
(va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd
(
va_op_vec_opr_vec
0
)
(
va_op_vec_opr_vec
1
)
(
va_op_vec_opr_vec
0
)
)
(fun
(
va_s:
va_state
)
_
->
let
va_arg79:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
(
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
14
va_s
)
)
(
Vale.Math.Poly2_s.monomial
64
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_degree_negative
va_arg79
)
(
let
va_arg78:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
14
va_s
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg78
64
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyMulLow
(
va_op_vec_opr_vec
9
)
(
va_op_vec_opr_vec
0
)
(
va_op_vec_opr_vec
14
)
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyMul
(
va_op_vec_opr_vec
10
)
(
va_op_vec_opr_vec
0
)
(
va_op_vec_opr_vec
12
)
)
(
fun
(
va_s:
va_state
)
_
->
let
va_arg77:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.monomial
64
in
let
va_arg76:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.div
(
Vale.AES.GHash_BE.gf128_power
h
2
)
(
Vale.Math.Poly2_s.monomial
64
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_div_mod_exact
va_arg76
va_arg77
)
(
let
va_arg75:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.Bits_s.of_quad32
(
va_get_vec
13
va_s
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg75
64
)
(
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyMulHigh
(
va_op_vec_opr_vec
11
)
(
va_op_vec_opr_vec
0
)
(
va_op_vec_opr_vec
13
)
)
(
fun
(
va_s:
va_state
)
_
->
let
va_arg74:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.monomial
64
in
let
va_arg73:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mod_mod
va_arg73
va_arg74
)
(
let
va_arg72:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg72
64
)
(
let
va_arg71:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mod
(
Vale.AES.GHash_BE.gf128_power
h
2
)
(
Vale.Math.Poly2_s.monomial
64
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_mask_is_mod
va_arg71
64
)
(
let
va_arg70:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GHash_BE.lemma_swap128_mask_shift
va_arg70
)
(
let
va_arg69:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg69
64
)
(
let
va_arg68:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.div
(
Vale.AES.GHash_BE.gf128_power
h
2
)
(
Vale.Math.Poly2_s.monomial
64
)
)
(
Vale.Math.Poly2_s.monomial
64
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.Lemmas.lemma_shift_is_div
va_arg68
64
)
(
let
va_arg67:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2_s.shift
(
add
prev
data_0
)
(
-
64
)
)
(
Vale.Math.Poly2.mask
(
Vale.AES.GHash_BE.gf128_power
h
2
)
64
)
in
let
va_arg66:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(
Vale.Math.Poly2.mask
(
add
prev
data_0
)
64
)
(
Vale.Math.Poly2_s.shift
(
Vale.AES.GHash_BE.gf128_power
h
2
)
(
-
64
)
)
in
let
va_arg65:Vale.Math.Poly2_s.poly
=
of_quad32
(
va_get_vec
3
va_s
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.Math.Poly2.lemma_add_associate
va_arg65
va_arg66
va_arg67
)
(
let
va_arg64:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
let
va_arg63:Vale.Math.Poly2_s.poly
=
add
prev
data_0
in
let
va_arg62:Vale.Math.Poly2_s.poly
=
of_quad32
(
va_get_vec
4
va_s
)
in
let
va_arg61:Vale.Math.Poly2_s.poly
=
of_quad32
(
va_get_vec
3
va_s
)
in
let
va_arg60:Vale.Math.Poly2_s.poly
=
of_quad32
(
va_get_vec
2
va_s
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GF128.lemma_Mul128_accum
va_arg60
va_arg61
va_arg62
va_arg63
va_arg64
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyAdd
(
va_op_vec_opr_vec
2
)
(
va_op_vec_opr_vec
2
)
(
va_op_vec_opr_vec
9
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyAdd
(
va_op_vec_opr_vec
3
)
(
va_op_vec_opr_vec
3
)
(
va_op_vec_opr_vec
10
)
)
(
va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_VPolyAdd
(
va_op_vec_opr_vec
4
)
(
va_op_vec_opr_vec
4
)
(
va_op_vec_opr_vec
11
)
)
(
va_QEmpty
(
()
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
))))
))))))))))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_register | val va_wpProof_Ghash_register : hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state
-> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_register hkeys_b h_BE y_prev va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_register ()) ([va_Mod_vec 10;
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Ghash_register : hkeys_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 -> va_s0:va_state
-> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_register hkeys_b h_BE y_prev va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_register ()) ([va_Mod_vec 10;
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1088,
"start_col": 0,
"start_line": 1076
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
hkeys_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Ghash_register",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_register"
] | [] | false | false | false | false | false | let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 7
va_sM
(va_update_vec 6
va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)
)))))))))))));
va_lemma_norm_mods ([
va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_ReduceLast | val va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32))
: (va_quickCode unit (va_code_ReduceLast ())) | val va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32))
: (va_quickCode unit (va_code_ReduceLast ())) | let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 97,
"end_line": 758,
"start_col": 0,
"start_line": 728
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ())) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_ReduceLast ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.GHash.va_code_Reduce",
"Vale.PPC64LE.Machine_s.Block",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.l_True",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.mask",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Def.Words_s.Mkfour",
"Vale.Def.Words_s.nat32",
"Vale.Math.Poly2_s.reverse",
"Vale.AES.GF128.gf128_low_shift",
"Vale.Math.Poly2_s.shift",
"Prims.op_Minus",
"Vale.Math.Poly2_s.zero",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev",
"Prims.int",
"Vale.Math.Poly2_s.degree",
"Vale.AES.GF128_s.gf128_modulus_low_terms",
"Vale.Math.Poly2_s.monomial",
"Vale.AES.GF128_s.gf128_modulus",
"Vale.AES.GF128.lemma_gf128_degree",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.GHash.va_quick_Reduce",
"Vale.PPC64LE.QuickCodes.va_qAssertSquash",
"Prims.b2t",
"Prims.op_GreaterThanOrEqual",
"Prims.op_Subtraction",
"Prims.squash",
"Vale.AES.GHash_BE.ghash_unroll",
"Vale.AES.GHash_BE.ghash_unroll_back",
"Prims.op_Addition",
"Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward",
"Prims.op_LessThan",
"Vale.AES.GF128.mod_rev",
"Vale.AES.GHash_BE.ghash_poly",
"Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll",
"Vale.AES.GHash_BE.ghash_incremental",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"FStar.Seq.Base.length",
"Vale.Def.Types_s.quad32",
"Vale.AES.GHash_BE.lemma_ghash_incremental_poly",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2.Bits.lemma_to_of_quad32",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Prims.nat",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.AES.GHash_BE.poly128",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast"
] | [] | false | false | false | false | false | let va_qcode_ReduceLast (va_mods: va_mods_t) (h_BE y_prev: quad32) (data: (seq quad32))
: (va_quickCode unit (va_code_ReduceLast ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let n:Prims.nat = FStar.Seq.Base.length #quad32 data in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ())
(va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.AES.GF128.lemma_gf128_degree ())
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms)
(fun (va_s: va_state) _ ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0)
(fun _ ->
let va_arg25:Prims.nat = n - 1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h
prev
pdata
0
va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0)
(fun _ ->
let va_arg24:Prims.nat = n - 1 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h
prev
pdata
0
va_arg24)
(let va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) =
data
in
let va_arg22:Vale.Def.Types_s.quad32 = y_prev in
let va_arg21:Vale.Def.Types_s.quad32 = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21
va_arg22
va_arg23)
(let va_arg20:Vale.Def.Types_s.quad32 =
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20
)
(va_QEmpty (())))))))))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_loop_body | val va_quick_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) | val va_quick_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) | let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 71,
"end_line": 1323,
"start_col": 0,
"start_line": 1318
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
old_len: Vale.PPC64LE.Memory.nat64 ->
index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.nat64",
"Prims.nat",
"Vale.PPC64LE.QuickCode.va_QProc",
"Prims.unit",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_loop_body",
"Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_loop_body",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
: (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
| (va_QProc (va_code_Ghash_buffer_loop_body ())
([
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7
])
(va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_GhashUnroll_n | val va_wpProof_GhashUnroll_n : exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 ->
y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_GhashUnroll_n exactly2) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_GhashUnroll_n : exactly2:bool -> in_b:buffer128 -> index:nat -> h_BE:quad32 ->
y_prev:quad32 -> data:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0
va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_GhashUnroll_n exactly2) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 888,
"start_col": 0,
"start_line": 877
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
exactly2: Prims.bool ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Prims.bool",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_GhashUnroll_n",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n"
] | [] | false | false | false | false | false | let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b index h_BE y_prev data
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 11
va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))
)));
va_lemma_norm_mods ([
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Mod_cr0 | val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g)))) | val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g)))) | let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1377,
"start_col": 0,
"start_line": 1371
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_cr0",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Mod_cr0",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0"
] | [] | false | false | false | false | false | let va_wpProof_Mod_cr0 va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_ReduceLast | val va_lemma_ReduceLast : va_b0:va_code -> va_s0:va_state -> h_BE:quad32 -> y_prev:quad32 ->
data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ReduceLast ()) va_s0 /\ va_get_ok va_s0 /\ (let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 8 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 3254779904 0 0 /\ n > 0 /\ add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 n (n - 1))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in let xi =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in Vale.Math.Poly2.Bits_s.to_quad32 xi ==
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data /\ xi == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 xi)) /\ va_state_eq va_sM (va_update_vec 10 va_sM
(va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))))))) | val va_lemma_ReduceLast : va_b0:va_code -> va_s0:va_state -> h_BE:quad32 -> y_prev:quad32 ->
data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_ReduceLast ()) va_s0 /\ va_get_ok va_s0 /\ (let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 8 va_s0 ==
Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 3254779904 0 0 /\ n > 0 /\ add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 n (n - 1))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in let xi =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in Vale.Math.Poly2.Bits_s.to_quad32 xi ==
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data /\ xi == Vale.Math.Poly2.Bits_s.of_quad32
(Vale.Math.Poly2.Bits_s.to_quad32 xi)) /\ va_state_eq va_sM (va_update_vec 10 va_sM
(va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_ok va_sM
va_s0))))))))))) | let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 782,
"start_col": 0,
"start_line": 761
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (())))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_ReduceLast",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.AES.GHash_BE.ghash_incremental",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Prims.nat",
"FStar.Seq.Base.length",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_ReduceLast"
] | [] | false | false | false | false | false | let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
| let va_mods:va_mods_t =
[
va_Mod_vec 10;
va_Mod_vec 9;
va_Mod_vec 8;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_ok
]
in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_ReduceLast ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let n:Prims.nat = FStar.Seq.Base.length #quad32 data in
label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in
label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi ==
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\
label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi)))))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 10;
va_Mod_vec 9;
va_Mod_vec 8;
va_Mod_vec 4;
va_Mod_vec 3;
va_Mod_vec 2;
va_Mod_vec 1;
va_Mod_vec 0;
va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.a_pow2_64 | val a_pow2_64 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t | let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k a 64 | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 20,
"end_line": 49,
"start_col": 0,
"start_line": 48
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3)
val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} ->
Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in
x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x)
// TODO?: define this function for any b
let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) =
let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} ->
Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b)
//---------------------------------------
// Loops.repeat b k.sqr a
let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) =
if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1))
val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat ->
Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b) | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | k: Spec.Exponentiation.concrete_ops t -> a: t -> t | Prims.Tot | [
"total"
] | [] | [
"Spec.Exponentiation.concrete_ops",
"Spec.Exponentiation.exp_pow2"
] | [] | false | false | false | true | false | let a_pow2_64 (#t: Type) (k: SE.concrete_ops t) (a: t) =
| SE.exp_pow2 k a 64 | false |
|
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.a_pow2_128 | val a_pow2_128 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t | let a_pow2_128 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k (a_pow2_64 k a) 64 | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 34,
"end_line": 52,
"start_col": 0,
"start_line": 51
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3)
val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} ->
Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in
x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x)
// TODO?: define this function for any b
let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) =
let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} ->
Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b)
//---------------------------------------
// Loops.repeat b k.sqr a
let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) =
if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1))
val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat ->
Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b)
let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k a 64 | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | k: Spec.Exponentiation.concrete_ops t -> a: t -> t | Prims.Tot | [
"total"
] | [] | [
"Spec.Exponentiation.concrete_ops",
"Spec.Exponentiation.exp_pow2",
"Hacl.Spec.PrecompBaseTable256.a_pow2_64"
] | [] | false | false | false | true | false | let a_pow2_128 (#t: Type) (k: SE.concrete_ops t) (a: t) =
| SE.exp_pow2 k (a_pow2_64 k a) 64 | false |
|
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_loop_body | val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1315,
"start_col": 0,
"start_line": 1303
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
old_len: Vale.PPC64LE.Memory.nat64 ->
index: Prims.nat ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.nat64",
"Prims.nat",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_loop_body",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body"
] | [] | false | false | false | false | false | let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
| let va_sM, va_f0 =
va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ())
va_s0
in_b
h_BE
y_prev
old_len
index
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 11
va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10
va_sM
(va_update_reg 6
va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))
))))))))))));
va_lemma_norm_mods ([
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_body0 | val va_qcode_Ghash_buffer_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) | val va_qcode_Ghash_buffer_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) | let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index)))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 79,
"end_line": 1408,
"start_col": 0,
"start_line": 1398
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ()))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_loop_body",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Prims.unit",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.AES.PPC64LE.GHash.va_quick_Mod_cr0",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_loop_body",
"Vale.PPC64LE.Decls.va_get_reg",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Prims.op_Addition",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0"
] | [] | false | false | false | false | false | let va_qcode_Ghash_buffer_body0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:poly = va_in_h in
let h_BE:quad32 = va_in_h_BE in
let in_b:buffer128 = va_in_in_b in
let y_prev:quad32 = va_in_y_prev in
let index:nat = va_in_index in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ())
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index)
(fun (va_s: va_state) _ ->
let index:nat = index + 2 in
va_QEmpty ((index)))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_loop_body | val va_wp_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | val va_wp_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 | let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (()))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 49,
"end_line": 1290,
"start_col": 0,
"start_line": 1252
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
old_len: Vale.PPC64LE.Memory.nat64 ->
index: Prims.nat ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.nat64",
"Prims.nat",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.op_GreaterThanOrEqual",
"Vale.PPC64LE.Decls.va_get_reg",
"Prims.eq2",
"Prims.int",
"Prims.op_Addition",
"Vale.PPC64LE.Decls.validSrcAddrsOffset128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.Decls.buffer_length",
"Vale.PPC64LE.Memory.vuint128",
"Prims.op_LessThan",
"Prims.op_Multiply",
"Vale.PPC64LE.Machine_s.pow2_64",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.op_Subtraction",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec",
"Vale.PPC64LE.Decls.va_upd_reg"
] | [] | false | false | false | true | true | let va_wp_Ghash_buffer_loop_body
(in_b: buffer128)
(h_BE y_prev: quad32)
(old_len: nat64)
(index: nat)
(va_s0: va_state)
(va_k: (va_state -> unit -> Type0))
: Type0 =
| (va_get_ok va_s0 /\
(let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
va_get_reg 6 va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0)
(va_get_reg 7 va_s0)
in_b
index
(va_get_reg 6 va_s0)
(va_get_mem_layout va_s0)
Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\
va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\
va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1
va_s0)
in_b))
0
index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\
(forall (va_x_r7: nat64) (va_x_r6: nat64) (va_x_r10: nat64) (va_x_v0: quad32) (va_x_v1: quad32)
(va_x_v2: quad32) (va_x_v3: quad32) (va_x_v4: quad32) (va_x_v8: quad32) (va_x_v9: quad32)
(va_x_v10: quad32) (va_x_v11: quad32).
let va_sM =
va_upd_vec 11
va_x_v11
(va_upd_vec 10
va_x_v10
(va_upd_vec 9
va_x_v9
(va_upd_vec 8
va_x_v8
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 2
va_x_v2
(va_upd_vec 1
va_x_v1
(va_upd_vec 0
va_x_v0
(va_upd_reg 10
va_x_r10
(va_upd_reg 6 va_x_r6 (va_upd_reg 7 va_x_r7 va_s0)))))
))))))
in
va_get_ok va_sM /\
(let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let index' = index + 2 in
index' + va_get_reg 6 va_sM == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM)
in_b
index'
(va_get_reg 6 va_sM)
(va_get_mem_layout va_sM)
Secret /\ Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\
va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\
va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_sM)
in_b))
0
index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\
va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) ==>
va_k va_sM (()))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_Mod_cr0 | val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) | val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) | let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1357,
"start_col": 0,
"start_line": 1348
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | va_b0: Vale.PPC64LE.Decls.va_code -> va_s0: Vale.PPC64LE.Decls.va_state
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_Mod_cr0"
] | [] | false | false | false | false | false | let va_lemma_Mod_cr0 va_b0 va_s0 =
| let va_mods:va_mods_t = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Mod_cr0 ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_Mod_cr0 | val va_quick_Mod_cr0: Prims.unit -> (va_quickCode unit (va_code_Mod_cr0 ())) | val va_quick_Mod_cr0: Prims.unit -> (va_quickCode unit (va_code_Mod_cr0 ())) | let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 81,
"end_line": 1381,
"start_col": 0,
"start_line": 1380
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | _: Prims.unit
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Mod_cr0 ()) | Prims.Tot | [
"total"
] | [] | [
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_QProc",
"Vale.AES.PPC64LE.GHash.va_code_Mod_cr0",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_Mod_cr0",
"Vale.AES.PPC64LE.GHash.va_wpProof_Mod_cr0",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
| (va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0) | false |
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.a_pow2_192 | val a_pow2_192 : k: Spec.Exponentiation.concrete_ops t -> a: t -> t | let a_pow2_192 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k (a_pow2_128 k a) 64 | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 35,
"end_line": 55,
"start_col": 0,
"start_line": 54
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3)
val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} ->
Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in
x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x)
// TODO?: define this function for any b
let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) =
let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} ->
Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b)
//---------------------------------------
// Loops.repeat b k.sqr a
let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) =
if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1))
val exp_pow2_rec_is_exp_pow2: #t:Type -> k:SE.concrete_ops t -> a:t -> b:nat ->
Lemma (exp_pow2_rec k a b == SE.exp_pow2 k a b)
let a_pow2_64 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k a 64
let a_pow2_128 (#t:Type) (k:SE.concrete_ops t) (a:t) =
SE.exp_pow2 k (a_pow2_64 k a) 64 | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | k: Spec.Exponentiation.concrete_ops t -> a: t -> t | Prims.Tot | [
"total"
] | [] | [
"Spec.Exponentiation.concrete_ops",
"Spec.Exponentiation.exp_pow2",
"Hacl.Spec.PrecompBaseTable256.a_pow2_128"
] | [] | false | false | false | true | false | let a_pow2_192 (#t: Type) (k: SE.concrete_ops t) (a: t) =
| SE.exp_pow2 k (a_pow2_128 k a) 64 | false |
|
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_body0 | val va_quick_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_body0 ())) | val va_quick_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_body0 ())) | let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 52,
"end_line": 1618,
"start_col": 0,
"start_line": 1611
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.QuickCode.va_QProc",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_body0",
"Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_body0",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_body0 ())) =
| (va_QProc (va_code_Ghash_buffer_body0 ())
([
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11;
va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10;
va_Mod_ok; va_Mod_cr0
])
(va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)
(va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_GhashUnroll_n | val va_lemma_GhashUnroll_n : va_b0:va_code -> va_s0:va_state -> exactly2:bool -> in_b:buffer128 ->
index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_GhashUnroll_n exactly2) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in (exactly2 ==> n == 2) /\
(~exactly2 ==> n == 1) /\ in_b_blocks in_b index n (va_get_mem_heaplet 1 va_s0)
(va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
(exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64)) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec
14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 11
va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4
va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))) | val va_lemma_GhashUnroll_n : va_b0:va_code -> va_s0:va_state -> exactly2:bool -> in_b:buffer128 ->
index:nat -> h_BE:quad32 -> y_prev:quad32 -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_GhashUnroll_n exactly2) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in (exactly2 ==> n == 2) /\
(~exactly2 ==> n == 1) /\ in_b_blocks in_b index n (va_get_mem_heaplet 1 va_s0)
(va_get_mem_layout va_s0) (va_get_reg 7 va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 1 va_s0) == prev /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
(exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 13 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64)) /\ (exactly2 ==> Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec
14 va_s0) == Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\ va_state_eq va_sM (va_update_vec 11
va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4
va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))) | let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 873,
"start_col": 0,
"start_line": 857
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
exactly2: Prims.bool ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
index: Prims.nat ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
data: FStar.Seq.Base.seq Vale.PPC64LE.Memory.quad32
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Prims.bool",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.Memory.quad32",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.GHash_BE.ghash_incremental",
"FStar.Seq.Base.length",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_GhashUnroll_n"
] | [] | false | false | false | false | false | let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
| let va_mods:va_mods_t =
[
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
]
in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2)
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
let n:Prims.nat = FStar.Seq.Base.length #quad32 data in
label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_lemma_Ghash_register | val va_lemma_Ghash_register : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> h_BE:quad32
-> y_prev:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_register ()) va_s0 /\ va_get_ok va_s0 /\ (let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
(va_get_reg 5 va_s0) h /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\
va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))))) | val va_lemma_Ghash_register : va_b0:va_code -> va_s0:va_state -> hkeys_b:buffer128 -> h_BE:quad32
-> y_prev:quad32
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_register ()) va_s0 /\ va_get_ok va_s0 /\ (let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in hkeys_b_powers hkeys_b (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0)
(va_get_reg 5 va_s0) h /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0) in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data) /\
va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))))) | let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 16,
"end_line": 1072,
"start_col": 0,
"start_line": 1053
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))))))))))))))))))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_b0: Vale.PPC64LE.Decls.va_code ->
va_s0: Vale.PPC64LE.Decls.va_state ->
hkeys_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32
-> Prims.Ghost (Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.fuel",
"Prims.unit",
"FStar.Pervasives.Native.Mktuple2",
"Vale.PPC64LE.Decls.va_fuel",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Prims.Nil",
"FStar.Pervasives.assert_norm",
"Prims.eq2",
"Prims.list",
"Vale.PPC64LE.QuickCode.__proj__QProc__item__mods",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_register",
"FStar.Pervasives.Native.tuple2",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCodes.va_wp_sound_code_norm",
"Prims.l_and",
"Vale.PPC64LE.QuickCodes.label",
"Vale.PPC64LE.QuickCodes.va_range1",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Vale.Def.Types_s.quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.AES.GHash_BE.ghash_incremental",
"Prims.int",
"Vale.AES.GHash_BE.poly128",
"Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_quad32",
"FStar.Seq.Base.seq",
"FStar.Seq.Base.create",
"Vale.PPC64LE.QuickCode.quickCode",
"Vale.AES.PPC64LE.GHash.va_qcode_Ghash_register"
] | [] | false | false | false | false | false | let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
| let va_mods:va_mods_t =
[
va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
]
in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let va_sM, va_fM, va_g =
va_wp_sound_code_norm (va_code_Ghash_register ())
va_qc
va_s0
(fun va_s0 va_sM va_g ->
let () = va_g in
label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\
(let h:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let data:(FStar.Seq.Base.seq quad32) =
FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in
let prev:Vale.Math.Poly2_s.poly = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in
let pdata:(Prims.int -> Vale.AES.GHash_BE.poly128) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data
in
label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)))
in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([
va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok
])
va_sM
va_s0;
(va_sM, va_fM) | false |
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.exp_as_exp_four_nat256_precomp | val exp_as_exp_four_nat256_precomp : k: Lib.Exponentiation.Definition.comm_monoid t -> a: t -> b: Prims.nat{b < Prims.pow2 256} -> t | let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) =
let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 69,
"end_line": 33,
"start_col": 0,
"start_line": 28
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3)
val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} ->
Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in
x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x) | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | k: Lib.Exponentiation.Definition.comm_monoid t -> a: t -> b: Prims.nat{b < Prims.pow2 256} -> t | Prims.Tot | [
"total"
] | [] | [
"Lib.Exponentiation.Definition.comm_monoid",
"Prims.nat",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.pow2",
"Prims.int",
"Lib.Exponentiation.exp_four_fw",
"Lib.Exponentiation.Definition.pow",
"FStar.Pervasives.Native.tuple4",
"Hacl.Spec.PrecompBaseTable256.decompose_nat256_as_four_u64"
] | [] | false | false | false | false | false | let exp_as_exp_four_nat256_precomp (#t: Type) (k: LE.comm_monoid t) (a: t) (b: nat{b < pow2 256}) =
| let b0, b1, b2, b3 = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4 | false |
|
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.exp_pow2_rec | val exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b) | val exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b) | let rec exp_pow2_rec (#t:Type) (k:SE.concrete_ops t) (a:t) (b:nat) : Tot t (decreases b) =
if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1)) | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 55,
"end_line": 42,
"start_col": 0,
"start_line": 41
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a)
let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3)
val lemma_decompose_nat256_as_four_u64: x:nat{x < pow2 256} ->
Lemma (let (x0, x1, x2, x3) = decompose_nat256_as_four_u64 x in
x0 + x1 * pow2 64 + x2 * pow2 128 + x3 * pow2 192 == x)
// TODO?: define this function for any b
let exp_as_exp_four_nat256_precomp (#t:Type) (k:LE.comm_monoid t) (a:t) (b:nat{b < pow2 256}) =
let (b0, b1, b2, b3) = decompose_nat256_as_four_u64 b in
let a_pow2_64 = LE.pow k a (pow2 64) in
let a_pow2_128 = LE.pow k a (pow2 128) in
let a_pow2_192 = LE.pow k a (pow2 192) in
LE.exp_four_fw k a 64 b0 a_pow2_64 b1 a_pow2_128 b2 a_pow2_192 b3 4
val lemma_point_mul_base_precomp4: #t:Type -> k:LE.comm_monoid t -> a:t -> b:nat{b < pow2 256} ->
Lemma (exp_as_exp_four_nat256_precomp k a b == LE.pow k a b)
//--------------------------------------- | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | k: Spec.Exponentiation.concrete_ops t -> a: t -> b: Prims.nat -> Prims.Tot t | Prims.Tot | [
"total",
""
] | [] | [
"Spec.Exponentiation.concrete_ops",
"Prims.nat",
"Prims.op_Equality",
"Prims.int",
"Prims.bool",
"Spec.Exponentiation.__proj__Mkconcrete_ops__item__sqr",
"Hacl.Spec.PrecompBaseTable256.exp_pow2_rec",
"Prims.op_Subtraction"
] | [
"recursion"
] | false | false | false | true | false | let rec exp_pow2_rec (#t: Type) (k: SE.concrete_ops t) (a: t) (b: nat) : Tot t (decreases b) =
| if b = 0 then a else k.sqr (exp_pow2_rec k a (b - 1)) | false |
Hacl.Spec.PrecompBaseTable256.fsti | Hacl.Spec.PrecompBaseTable256.decompose_nat256_as_four_u64 | val decompose_nat256_as_four_u64 : x: Prims.nat{x < Prims.pow2 256} -> ((Prims.int * Prims.int) * Prims.int) * Prims.int | let decompose_nat256_as_four_u64 (x:nat{x < pow2 256}) =
let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3) | {
"file_name": "code/bignum/Hacl.Spec.PrecompBaseTable256.fsti",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 18,
"end_line": 21,
"start_col": 0,
"start_line": 16
} | module Hacl.Spec.PrecompBaseTable256
open FStar.Mul
open Lib.IntTypes
module LSeq = Lib.Sequence
module LE = Lib.Exponentiation
module SE = Spec.Exponentiation
module BD = Hacl.Spec.Bignum.Definitions
#set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
val lemma_mod_pow2_sub: x:nat -> a:nat -> b:nat ->
Lemma (x / pow2 a % pow2 b * pow2 a == x % pow2 (a + b) - x % pow2 a) | {
"checked_file": "/",
"dependencies": [
"Spec.Exponentiation.fsti.checked",
"prims.fst.checked",
"Lib.Sequence.fsti.checked",
"Lib.IntTypes.fsti.checked",
"Lib.Exponentiation.fsti.checked",
"Hacl.Spec.Bignum.Definitions.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.Mul.fst.checked"
],
"interface_file": false,
"source_file": "Hacl.Spec.PrecompBaseTable256.fsti"
} | [
{
"abbrev": true,
"full_module": "Hacl.Spec.Bignum.Definitions",
"short_module": "BD"
},
{
"abbrev": true,
"full_module": "Spec.Exponentiation",
"short_module": "SE"
},
{
"abbrev": true,
"full_module": "Lib.Exponentiation",
"short_module": "LE"
},
{
"abbrev": true,
"full_module": "Lib.Sequence",
"short_module": "LSeq"
},
{
"abbrev": false,
"full_module": "Lib.IntTypes",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "Hacl.Spec",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 0,
"initial_ifuel": 0,
"max_fuel": 0,
"max_ifuel": 0,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x: Prims.nat{x < Prims.pow2 256} -> ((Prims.int * Prims.int) * Prims.int) * Prims.int | Prims.Tot | [
"total"
] | [] | [
"Prims.nat",
"Prims.b2t",
"Prims.op_LessThan",
"Prims.pow2",
"FStar.Pervasives.Native.Mktuple4",
"Prims.int",
"Prims.op_Modulus",
"Prims.op_Division",
"FStar.Pervasives.Native.tuple4"
] | [] | false | false | false | false | false | let decompose_nat256_as_four_u64 (x: nat{x < pow2 256}) =
| let x0 = x % pow2 64 in
let x1 = x / pow2 64 % pow2 64 in
let x2 = x / pow2 128 % pow2 64 in
let x3 = x / pow2 192 % pow2 64 in
(x0, x1, x2, x3) | false |
|
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer_while0 | val va_qcode_Ghash_buffer_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) | val va_qcode_Ghash_buffer_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) | let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 26,
"end_line": 1669,
"start_col": 0,
"start_line": 1634
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ())) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.Machine_s.While",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.QuickCodes.cmp_to_ocmp",
"Vale.PPC64LE.QuickCodes.Cmp_ge",
"Vale.PPC64LE.Decls.va_op_cmp_reg",
"Vale.PPC64LE.Decls.va_const_cmp",
"Vale.PPC64LE.QuickCodes.block",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.QuickCodes.va_qWhile",
"Vale.PPC64LE.Machine_s.nat64",
"Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_body0",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.QuickCode.quickCode",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Addition",
"Vale.PPC64LE.Decls.va_get_reg",
"Prims.op_Multiply",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.PPC64LE.Decls.validSrcAddrsOffset128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.Decls.buffer_length",
"Vale.PPC64LE.Memory.vuint128",
"Prims.op_LessThan",
"Vale.PPC64LE.Machine_s.pow2_64",
"Vale.Def.Types_s.quad32",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Prims.l_imp",
"Vale.PPC64LE.Machine_s.quad32",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0"
] | [] | false | false | false | false | false | let va_qcode_Ghash_buffer_while0
(va_mods: va_mods_t)
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:poly = va_in_h in
let h_BE:quad32 = va_in_h_BE in
let in_b:buffer128 = va_in_in_b in
let y_prev:quad32 = va_in_y_prev in
let index:nat = va_in_index in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods
(Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2))
(fun va_g ->
let index:nat =
let index = va_g in
index
in
qblock va_mods
(fun (va_s: va_state) ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index)
(fun (va_s: va_state) (index: nat) -> va_QEmpty ((index)))))
(fun (va_s: va_state) va_g ->
let index:nat =
let index = va_g in
index
in
va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\
va_get_reg 7 va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s)
(va_get_reg 7 va_s)
in_b
index
(va_get_reg 6 va_s)
(va_get_mem_layout va_s)
Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b ==
va_get_reg 6 va_old /\
va_get_reg 7 va_s + 16 `op_Multiply` (va_get_reg 6 va_s) < pow2_64 /\
va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet
1
va_s)
in_b))
0
index) /\
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\
h == Vale.Math.Poly2.Bits_s.of_quad32 h_BE)
(fun (va_s: va_state) va_g ->
let index:nat =
let index = va_g in
index
in
va_get_reg 6 va_s)
((index)))
(fun (va_s: va_state) va_g ->
let index:nat =
let index = va_g in
index
in
let va_g = (index) in
let index:nat = va_g in
va_QEmpty ((index))))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_while0 | val va_quick_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_while0 ())) | val va_quick_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_while0 ())) | let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_while0 ())) =
(va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 52,
"end_line": 1878,
"start_col": 0,
"start_line": 1871
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec
9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.nat
(Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0 ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.QuickCode.va_QProc",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Prims.Nil",
"Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_while0",
"Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_while0",
"Vale.PPC64LE.QuickCode.va_quickCode"
] | [] | false | false | false | false | false | let va_quick_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
: (va_quickCode nat (va_code_Ghash_buffer_while0 ())) =
| (va_QProc (va_code_Ghash_buffer_while0 ())
([
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11;
va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10;
va_Mod_ok; va_Mod_cr0
])
(va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)
(va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index)) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_body0 | val va_wp_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 | val va_wp_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 | let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index)))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 86,
"end_line": 1581,
"start_col": 0,
"start_line": 1528
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Addition",
"Vale.PPC64LE.Decls.va_get_reg",
"Prims.op_Multiply",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.PPC64LE.Decls.validSrcAddrsOffset128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.Decls.buffer_length",
"Vale.PPC64LE.Memory.vuint128",
"Prims.op_LessThan",
"Vale.PPC64LE.Machine_s.pow2_64",
"Vale.Def.Types_s.quad32",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Prims.l_imp",
"Vale.PPC64LE.Machine_s.quad32",
"Prims.op_GreaterThanOrEqual",
"Prims.l_Forall",
"Vale.PPC64LE.Machine_s.cr0_t",
"Prims.bool",
"Vale.PPC64LE.Memory.nat64",
"Vale.PPC64LE.QuickCodes.precedes_wrap",
"Vale.PPC64LE.Machine_s.nat64",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec",
"Vale.PPC64LE.Decls.va_upd_reg",
"Vale.PPC64LE.Decls.va_upd_ok",
"Vale.PPC64LE.Decls.va_upd_cr0"
] | [] | false | false | false | true | true | let va_wp_Ghash_buffer_body0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\
va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0)
(va_get_reg 7 va_s0)
va_in_in_b
va_in_index
(va_get_reg 6 va_s0)
(va_get_mem_layout va_s0)
Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\
va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\
va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE
va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1
va_s0)
va_in_in_b))
0
va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\
va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\
(forall (va_x_cr0: cr0_t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r6: nat64) (va_x_r7: nat64)
(va_x_v0: quad32) (va_x_v1: quad32) (va_x_v10: quad32) (va_x_v11: quad32) (va_x_v2: quad32)
(va_x_v3: quad32) (va_x_v4: quad32) (va_x_v8: quad32) (va_x_v9: quad32) (index: nat).
let va_sM =
va_upd_vec 9
va_x_v9
(va_upd_vec 8
va_x_v8
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 2
va_x_v2
(va_upd_vec 11
va_x_v11
(va_upd_vec 10
va_x_v10
(va_upd_vec 1
va_x_v1
(va_upd_vec 0
va_x_v0
(va_upd_reg 7
va_x_r7
(va_upd_reg 6
va_x_r6
(va_upd_reg 10
va_x_r10
(va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0)
))))))))))))
in
va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM)
va_in_in_b
index
(va_get_reg 6 va_sM)
(va_get_mem_layout va_sM)
Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b ==
va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\
va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE
va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1
va_sM)
va_in_in_b))
0
index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\
va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==>
va_k va_sM ((index)))) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer_body0 | val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g)))) | val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g)))) | let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 1608,
"start_col": 0,
"start_line": 1595
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g)))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.nat) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Prims.unit",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Vale.PPC64LE.QuickCode.va_Mod_ok",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_update_cr0",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer_body0",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_body0"
] | [] | false | false | false | false | false | let va_wpProof_Ghash_buffer_body0
va_old
va_in_h
va_in_h_BE
va_in_in_b
va_in_y_prev
va_in_index
va_s0
va_k
=
| let va_sM, va_f0, index =
va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ())
va_s0
va_old
va_in_h
va_in_h_BE
va_in_in_b
va_in_y_prev
va_in_index
in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 11
va_sM
(va_update_vec 10
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 7
va_sM
(va_update_reg 6
va_sM
(va_update_reg 10
va_sM
(va_update_ok va_sM
(va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11;
va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10;
va_Mod_ok; va_Mod_cr0
])
va_sM
va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wpProof_Ghash_buffer | val va_wpProof_Ghash_buffer : hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32
-> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer ()) ([va_Mod_cr0;
va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec
2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | val va_wpProof_Ghash_buffer : hkeys_b:buffer128 -> in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32
-> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer ()) ([va_Mod_cr0;
va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec
2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0 va_k ((va_sM,
va_f0, va_g)))) | let va_wpProof_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer (va_code_Ghash_buffer ()) va_s0 hkeys_b in_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_vec 14 va_sM (va_update_vec 13 va_sM
(va_update_vec 12 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))))))));
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11;
va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 22,
"end_line": 2073,
"start_col": 0,
"start_line": 2058
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec
9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_while0 ())) =
(va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6)
(va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n
false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))
(va_Block (va_CNil ()))) (va_CNil ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n
false) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12)
(va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg61:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let
(va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s:va_state) _ -> let
(va_arg53:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53) (let
(va_arg52:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52) (let (index:nat) = 0 in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index) (fun (va_s:va_state) index ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s)) (fun _ -> let
(data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s) in let (y_loop:quad32) =
va_get_vec 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n false in_b index h_BE y_loop data) (fun (va_s:va_state) _ ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg51:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg50:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg49:Vale.Def.Types_s.quad32) = y_loop in let (va_arg48:Vale.Def.Types_s.quad32) = y_prev
in let (va_arg47:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49
va_arg50 va_arg51 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b))) (va_QEmpty (()))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun
(va_s:va_state) va_g -> va_QEmpty (())))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer va_b0 va_s0 hkeys_b in_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5;
va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg
6; va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer va_mods hkeys_b in_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in label va_range1
"***** POSTCONDITION NOT MET AT line 545 column 92 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b))) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 546 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_s0 == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11;
va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
hkeys_b: Vale.PPC64LE.Memory.buffer128 ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32 ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.unit -> Type0)
-> Prims.Ghost ((Vale.PPC64LE.Decls.va_state * Vale.PPC64LE.Decls.va_fuel) * Prims.unit) | Prims.Ghost | [] | [] | [
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Decls.va_state",
"Prims.unit",
"Vale.PPC64LE.Decls.va_fuel",
"FStar.Pervasives.Native.Mktuple3",
"Vale.PPC64LE.QuickCode.va_lemma_norm_mods",
"Prims.Cons",
"Vale.PPC64LE.QuickCode.mod_t",
"Vale.PPC64LE.QuickCode.va_Mod_cr0",
"Vale.PPC64LE.QuickCode.va_Mod_vec",
"Vale.PPC64LE.QuickCode.va_Mod_reg",
"Prims.Nil",
"Prims._assert",
"Vale.PPC64LE.Decls.va_state_eq",
"Vale.PPC64LE.Decls.va_update_cr0",
"Vale.PPC64LE.Decls.va_update_vec",
"Vale.PPC64LE.Decls.va_update_reg",
"Vale.PPC64LE.Decls.va_update_ok",
"Vale.PPC64LE.Decls.va_lemma_upd_update",
"FStar.Pervasives.Native.tuple3",
"FStar.Pervasives.Native.tuple2",
"Vale.PPC64LE.Machine_s.state",
"Vale.AES.PPC64LE.GHash.va_lemma_Ghash_buffer",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer"
] | [] | false | false | false | false | false | let va_wpProof_Ghash_buffer hkeys_b in_b h_BE y_prev va_s0 va_k =
| let va_sM, va_f0 = va_lemma_Ghash_buffer (va_code_Ghash_buffer ()) va_s0 hkeys_b in_b h_BE y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM
(va_update_cr0 va_sM
(va_update_vec 14
va_sM
(va_update_vec 13
va_sM
(va_update_vec 12
va_sM
(va_update_vec 11
va_sM
(va_update_vec 10
va_sM
(va_update_vec 9
va_sM
(va_update_vec 8
va_sM
(va_update_vec 7
va_sM
(va_update_vec 6
va_sM
(va_update_vec 5
va_sM
(va_update_vec 4
va_sM
(va_update_vec 3
va_sM
(va_update_vec 2
va_sM
(va_update_vec 1
va_sM
(va_update_vec 0
va_sM
(va_update_reg 10
va_sM
(va_update_reg 6
va_sM
(va_update_reg 7
va_sM
(va_update_ok va_sM
va_s0)))))))))
))))))))))));
va_lemma_norm_mods ([
va_Mod_cr0; va_Mod_vec 14; va_Mod_vec 13; va_Mod_vec 12; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6; va_Mod_vec 5; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7
])
va_sM
va_s0;
let va_g = () in
(va_sM, va_f0, va_g) | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_wp_Ghash_buffer_while0 | val va_wp_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 | val va_wp_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 | let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index)))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 57,
"end_line": 1841,
"start_col": 0,
"start_line": 1789
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_old: Vale.PPC64LE.Decls.va_state ->
va_in_h: Vale.Math.Poly2_s.poly ->
va_in_h_BE: Vale.PPC64LE.Memory.quad32 ->
va_in_in_b: Vale.PPC64LE.Memory.buffer128 ->
va_in_y_prev: Vale.PPC64LE.Memory.quad32 ->
va_in_index: Prims.nat ->
va_s0: Vale.PPC64LE.Decls.va_state ->
va_k: (_: Vale.PPC64LE.Decls.va_state -> _: Prims.nat -> Type0)
-> Type0 | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.Decls.va_state",
"Vale.Math.Poly2_s.poly",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.Memory.buffer128",
"Prims.nat",
"Prims.l_and",
"Prims.b2t",
"Vale.PPC64LE.Decls.va_get_ok",
"Prims.eq2",
"Prims.int",
"Prims.op_Addition",
"Vale.PPC64LE.Decls.va_get_reg",
"Prims.op_Multiply",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.PPC64LE.Decls.va_get_vec",
"Vale.Math.Poly2.swap",
"Vale.AES.GHash_BE.gf128_power",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.monomial",
"Vale.Math.Poly2_s.mod",
"Vale.PPC64LE.Decls.validSrcAddrsOffset128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_mem_layout",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.Decls.buffer_length",
"Vale.PPC64LE.Memory.vuint128",
"Prims.op_LessThan",
"Vale.PPC64LE.Machine_s.pow2_64",
"Vale.Def.Types_s.quad32",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.slice",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Prims.l_imp",
"Vale.PPC64LE.Machine_s.quad32",
"Prims.l_Forall",
"Vale.PPC64LE.Machine_s.cr0_t",
"Prims.bool",
"Vale.PPC64LE.Memory.nat64",
"Prims.l_not",
"Prims.op_GreaterThanOrEqual",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.Decls.va_upd_vec",
"Vale.PPC64LE.Decls.va_upd_reg",
"Vale.PPC64LE.Decls.va_upd_ok",
"Vale.PPC64LE.Decls.va_upd_cr0"
] | [] | false | false | false | true | true | let va_wp_Ghash_buffer_while0
(va_old: va_state)
(va_in_h: poly)
(va_in_h_BE: quad32)
(va_in_in_b: buffer128)
(va_in_y_prev: quad32)
(va_in_index: nat)
(va_s0: va_state)
(va_k: (va_state -> nat -> Type0))
: Type0 =
| (va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\
va_get_reg 7 va_s0 == va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s0) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0)
(va_get_reg 7 va_s0)
va_in_in_b
va_in_index
(va_get_reg 6 va_s0)
(va_get_mem_layout va_s0)
Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6 va_old /\
va_get_reg 7 va_s0 + 16 `op_Multiply` (va_get_reg 6 va_s0) < pow2_64 /\
va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE
va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1
va_s0)
va_in_in_b))
0
va_in_index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\
va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
(forall (va_x_cr0: cr0_t) (va_x_ok: bool) (va_x_r10: nat64) (va_x_r6: nat64) (va_x_r7: nat64)
(va_x_v0: quad32) (va_x_v1: quad32) (va_x_v10: quad32) (va_x_v11: quad32) (va_x_v2: quad32)
(va_x_v3: quad32) (va_x_v4: quad32) (va_x_v8: quad32) (va_x_v9: quad32) (index: nat).
let va_sM =
va_upd_vec 9
va_x_v9
(va_upd_vec 8
va_x_v8
(va_upd_vec 4
va_x_v4
(va_upd_vec 3
va_x_v3
(va_upd_vec 2
va_x_v2
(va_upd_vec 11
va_x_v11
(va_upd_vec 10
va_x_v10
(va_upd_vec 1
va_x_v1
(va_upd_vec 0
va_x_v0
(va_upd_reg 7
va_x_r7
(va_upd_reg 6
va_x_r6
(va_upd_reg 10
va_x_r10
(va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0)
))))))))))))
in
va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) ==
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 2)
(Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM)
va_in_in_b
index
(va_get_reg 6 va_sM)
(va_get_mem_layout va_sM)
Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b ==
va_get_reg 6 va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` (va_get_reg 6 va_sM) < pow2_64 /\
va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE
va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1
va_sM)
va_in_in_b))
0
index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\
va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\ ~(va_get_reg 6 va_sM >= 2) ==>
va_k va_sM ((index)))) | false |
CBOR.Pulse.fst | CBOR.Pulse.impl_compare_u64 | val impl_compare_u64 (x1 x2: U64.t) : Tot I16.t | val impl_compare_u64 (x1 x2: U64.t) : Tot I16.t | let impl_compare_u64
(x1 x2: U64.t)
: Tot I16.t
= if x1 = x2
then 0s
else if x1 `U64.lt` x2
then -1s
else 1s | {
"file_name": "share/steel/examples/pulse/dice/cbor/CBOR.Pulse.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 9,
"end_line": 117,
"start_col": 0,
"start_line": 110
} | (*
Copyright 2023 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module CBOR.Pulse
include CBOR.Spec.Constants
include CBOR.Pulse.Extern
open Pulse.Lib.Pervasives
open Pulse.Lib.Stick
module Cbor = CBOR.Spec
module A = Pulse.Lib.Array
module SZ = FStar.SizeT
#push-options "--fuel 2 --ifuel 2"
assume val elim_stick0
(_: unit)
(#hyp #concl: vprop)
: stt_ghost unit
((hyp @==> concl) ** hyp)
(fun _ -> concl)
assume val stick_refl0
(p: vprop)
: stt_ghost unit
(emp)
(fun _ -> p @==> p)
assume
val stick_consume_l
(_: unit)
(#p #q #r: vprop)
: stt_ghost unit
(p ** ((p ** q) @==> r))
(fun _ -> q @==> r)
assume
val stick_consume_r
(_: unit)
(#q #p #r: vprop)
: stt_ghost unit
(p ** ((q ** p) @==> r))
(fun _ -> q @==> r)
assume
val stick_trans
(_: unit)
(#p #q #r: vprop)
: stt_ghost unit
((p @==> q) ** (q @==> r))
(fun _ -> p @==> r)
assume
val rewrite_with_implies
(p q: vprop)
: stt_ghost unit
(p ** pure (p == q))
(fun _ -> q ** (q @==> p))
assume
val stick_weaken_hyp_r
(hl hr #hr' #c: vprop)
: stt_ghost unit
((hr' @==> hr) ** ((hl ** hr) @==> c))
(fun _ -> (hl ** hr') @==> c)
assume
val stick_weaken_hyp_l
(hl hr #hl' #c: vprop)
: stt_ghost unit
((hl' @==> hl) ** ((hl ** hr) @==> c))
(fun _ -> (hl' ** hr) @==> c)
assume Fits_u64 : squash (SZ.fits_u64)
module U8 = FStar.UInt8
module U64 = FStar.UInt64
module I16 = FStar.Int16
inline_for_extraction noextract [@@noextract_to "krml"]
let impl_compare_u8
(x1 x2: U8.t)
: Tot I16.t
= if x1 = x2
then 0s
else if x1 `U8.lt` x2
then -1s
else 1s
let impl_compare_u8_correct
(x1 x2: U8.t)
: Lemma
(I16.v (impl_compare_u8 x1 x2) == Cbor.int_compare (U8.v x1) (U8.v x2))
[SMTPat (impl_compare_u8 x1 x2)]
= () | {
"checked_file": "/",
"dependencies": [
"Pulse.Lib.Stick.fsti.checked",
"Pulse.Lib.SeqMatch.fsti.checked",
"Pulse.Lib.Pervasives.fst.checked",
"Pulse.Lib.ArraySwap.fsti.checked",
"Pulse.Lib.Array.fsti.checked",
"prims.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.StrongExcludedMiddle.fst.checked",
"FStar.SizeT.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.Int16.fsti.checked",
"FStar.Ghost.fsti.checked",
"CBOR.Spec.Constants.fst.checked",
"CBOR.Spec.fsti.checked",
"CBOR.Pulse.Extern.fsti.checked"
],
"interface_file": false,
"source_file": "CBOR.Pulse.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Int16",
"short_module": "I16"
},
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.SizeT",
"short_module": "SZ"
},
{
"abbrev": true,
"full_module": "Pulse.Lib.Array",
"short_module": "A"
},
{
"abbrev": true,
"full_module": "CBOR.Spec",
"short_module": "Cbor"
},
{
"abbrev": false,
"full_module": "Pulse.Lib.Stick",
"short_module": null
},
{
"abbrev": false,
"full_module": "Pulse.Lib.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR.Pulse.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR.Spec.Constants",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 2,
"max_fuel": 2,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x1: FStar.UInt64.t -> x2: FStar.UInt64.t -> FStar.Int16.t | Prims.Tot | [
"total"
] | [] | [
"FStar.UInt64.t",
"Prims.op_Equality",
"FStar.Int16.__int_to_t",
"Prims.bool",
"FStar.UInt64.lt",
"FStar.Int16.t"
] | [] | false | false | false | true | false | let impl_compare_u64 (x1 x2: U64.t) : Tot I16.t =
| if x1 = x2 then 0s else if x1 `U64.lt` x2 then -1s else 1s | false |
CBOR.Pulse.fst | CBOR.Pulse.impl_compare_u8 | val impl_compare_u8 (x1 x2: U8.t) : Tot I16.t | val impl_compare_u8 (x1 x2: U8.t) : Tot I16.t | let impl_compare_u8
(x1 x2: U8.t)
: Tot I16.t
= if x1 = x2
then 0s
else if x1 `U8.lt` x2
then -1s
else 1s | {
"file_name": "share/steel/examples/pulse/dice/cbor/CBOR.Pulse.fst",
"git_rev": "f984200f79bdc452374ae994a5ca837496476c41",
"git_url": "https://github.com/FStarLang/steel.git",
"project_name": "steel"
} | {
"end_col": 9,
"end_line": 100,
"start_col": 0,
"start_line": 93
} | (*
Copyright 2023 Microsoft Research
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*)
module CBOR.Pulse
include CBOR.Spec.Constants
include CBOR.Pulse.Extern
open Pulse.Lib.Pervasives
open Pulse.Lib.Stick
module Cbor = CBOR.Spec
module A = Pulse.Lib.Array
module SZ = FStar.SizeT
#push-options "--fuel 2 --ifuel 2"
assume val elim_stick0
(_: unit)
(#hyp #concl: vprop)
: stt_ghost unit
((hyp @==> concl) ** hyp)
(fun _ -> concl)
assume val stick_refl0
(p: vprop)
: stt_ghost unit
(emp)
(fun _ -> p @==> p)
assume
val stick_consume_l
(_: unit)
(#p #q #r: vprop)
: stt_ghost unit
(p ** ((p ** q) @==> r))
(fun _ -> q @==> r)
assume
val stick_consume_r
(_: unit)
(#q #p #r: vprop)
: stt_ghost unit
(p ** ((q ** p) @==> r))
(fun _ -> q @==> r)
assume
val stick_trans
(_: unit)
(#p #q #r: vprop)
: stt_ghost unit
((p @==> q) ** (q @==> r))
(fun _ -> p @==> r)
assume
val rewrite_with_implies
(p q: vprop)
: stt_ghost unit
(p ** pure (p == q))
(fun _ -> q ** (q @==> p))
assume
val stick_weaken_hyp_r
(hl hr #hr' #c: vprop)
: stt_ghost unit
((hr' @==> hr) ** ((hl ** hr) @==> c))
(fun _ -> (hl ** hr') @==> c)
assume
val stick_weaken_hyp_l
(hl hr #hl' #c: vprop)
: stt_ghost unit
((hl' @==> hl) ** ((hl ** hr) @==> c))
(fun _ -> (hl' ** hr) @==> c)
assume Fits_u64 : squash (SZ.fits_u64)
module U8 = FStar.UInt8
module U64 = FStar.UInt64
module I16 = FStar.Int16 | {
"checked_file": "/",
"dependencies": [
"Pulse.Lib.Stick.fsti.checked",
"Pulse.Lib.SeqMatch.fsti.checked",
"Pulse.Lib.Pervasives.fst.checked",
"Pulse.Lib.ArraySwap.fsti.checked",
"Pulse.Lib.Array.fsti.checked",
"prims.fst.checked",
"FStar.UInt8.fsti.checked",
"FStar.UInt64.fsti.checked",
"FStar.StrongExcludedMiddle.fst.checked",
"FStar.SizeT.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked",
"FStar.List.Tot.fst.checked",
"FStar.Int16.fsti.checked",
"FStar.Ghost.fsti.checked",
"CBOR.Spec.Constants.fst.checked",
"CBOR.Spec.fsti.checked",
"CBOR.Pulse.Extern.fsti.checked"
],
"interface_file": false,
"source_file": "CBOR.Pulse.fst"
} | [
{
"abbrev": true,
"full_module": "FStar.Int16",
"short_module": "I16"
},
{
"abbrev": true,
"full_module": "FStar.UInt64",
"short_module": "U64"
},
{
"abbrev": true,
"full_module": "FStar.UInt8",
"short_module": "U8"
},
{
"abbrev": true,
"full_module": "FStar.SizeT",
"short_module": "SZ"
},
{
"abbrev": true,
"full_module": "Pulse.Lib.Array",
"short_module": "A"
},
{
"abbrev": true,
"full_module": "CBOR.Spec",
"short_module": "Cbor"
},
{
"abbrev": false,
"full_module": "Pulse.Lib.Stick",
"short_module": null
},
{
"abbrev": false,
"full_module": "Pulse.Lib.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR.Pulse.Extern",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR.Spec.Constants",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR",
"short_module": null
},
{
"abbrev": false,
"full_module": "CBOR",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 2,
"max_fuel": 2,
"max_ifuel": 2,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": false,
"smtencoding_l_arith_repr": "boxwrap",
"smtencoding_nl_arith_repr": "boxwrap",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": true,
"z3cliopt": [],
"z3refresh": false,
"z3rlimit": 5,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false | x1: FStar.UInt8.t -> x2: FStar.UInt8.t -> FStar.Int16.t | Prims.Tot | [
"total"
] | [] | [
"FStar.UInt8.t",
"Prims.op_Equality",
"FStar.Int16.__int_to_t",
"Prims.bool",
"FStar.UInt8.lt",
"FStar.Int16.t"
] | [] | false | false | false | true | false | let impl_compare_u8 (x1 x2: U8.t) : Tot I16.t =
| if x1 = x2 then 0s else if x1 `U8.lt` x2 then -1s else 1s | false |
Vale.AES.PPC64LE.GHash.fst | Vale.AES.PPC64LE.GHash.va_qcode_Ghash_buffer | val va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32)
: (va_quickCode unit (va_code_Ghash_buffer ())) | val va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32)
: (va_quickCode unit (va_code_Ghash_buffer ())) | let va_qcode_Ghash_buffer (va_mods:va_mods_t) (hkeys_b:buffer128) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) : (va_quickCode unit (va_code_Ghash_buffer ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12)
(va_op_reg_opr_reg 5) (va_op_reg_opr_reg 10) Secret hkeys_b 1) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg61:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61) (let
(va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg57) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (fun (va_s:va_state) _ -> let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg56) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg55) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 2) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64)) (fun (va_s:va_state) _ -> let
(va_arg53:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg53) (let
(va_arg52:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg52) (let (index:nat) = 0 in
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_while0 va_old_s h h_BE in_b y_prev index) (fun (va_s:va_state) index ->
va_QBind va_range1
"***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qIf va_mods (Cmp_gt (va_op_cmp_reg 6) (va_const_cmp 0)) (qblock va_mods (fun
(va_s:va_state) -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s)) (fun _ -> let
(data:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (va_get_reg 6 va_old_s) in let (y_loop:quad32) =
va_get_vec 1 va_s in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n false in_b index h_BE y_loop data) (fun (va_s:va_state) _ ->
va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg51:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg50:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg49:Vale.Def.Types_s.quad32) = y_loop in let (va_arg48:Vale.Def.Types_s.quad32) = y_prev
in let (va_arg47:Vale.Def.Types_s.quad32) = h_BE in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg47 va_arg48 va_arg49
va_arg50 va_arg51 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b))) (va_QEmpty (()))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun
(va_s:va_state) va_g -> va_QEmpty (()))))))))))))))))))))))))) | {
"file_name": "obj/Vale.AES.PPC64LE.GHash.fst",
"git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872",
"git_url": "https://github.com/project-everest/hacl-star.git",
"project_name": "hacl-star"
} | {
"end_col": 66,
"end_line": 2030,
"start_col": 0,
"start_line": 1916
} | module Vale.AES.PPC64LE.GHash
open Vale.Def.Prop_s
open Vale.Def.Opaque_s
open Vale.Def.Words_s
open Vale.Def.Types_s
open FStar.Seq
open Vale.Arch.Types
open Vale.Arch.HeapImpl
open Vale.AES.AES_BE_s
open Vale.PPC64LE.Machine_s
open Vale.PPC64LE.Memory
open Vale.PPC64LE.State
open Vale.PPC64LE.Decls
open Vale.PPC64LE.InsBasic
open Vale.PPC64LE.InsMem
open Vale.PPC64LE.InsVector
open Vale.PPC64LE.QuickCode
open Vale.PPC64LE.QuickCodes
open Vale.AES.AES_helpers
open Vale.Poly1305.Math // For lemma_poly_bits64()
open Vale.AES.GCM_helpers_BE
open Vale.AES.GCTR_BE_s
open Vale.AES.GCTR_BE
open Vale.Arch.TypesNative
open Vale.AES.PPC64LE.PolyOps
open Vale.AES.PPC64LE.GF128_Mul
open Vale.Math.Poly2_s
open Vale.Math.Poly2
open Vale.Math.Poly2.Bits_s
open Vale.Math.Poly2.Bits
open Vale.Math.Poly2.Lemmas
open Vale.AES.GF128_s
open Vale.AES.GF128
open Vale.AES.GHash_BE
#reset-options "--z3rlimit 50"
//-- MulAdd_unroll_1way
val va_code_MulAdd_unroll_1way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_1way () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_CCons
(va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5))
(va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
6)) (va_CNil ())))))))
val va_codegen_success_MulAdd_unroll_1way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_1way () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1)
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
7)) (va_pbool_and (va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (va_ttrue ()))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_1way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_i:poly) = pdata 0 in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 136 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (fun (va_s:va_state) _ -> let
(va_arg44:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 138 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg44 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 139 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg43:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 140 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg43) (let
(va_arg42:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 141 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg42 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 142 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 143 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg41:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg40:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 144 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg40 va_arg41) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 145 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 146 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 147 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg37 va_arg38) (let
(va_arg36:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 148 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg36 64) (let
(va_arg35:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 149 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg35 64) (let
(va_arg34:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 150 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg34) (let
(va_arg33:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 151 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg33 64) (let
(va_arg32:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 152 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg32 64) (let
(va_arg31:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg30:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 153 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg30 va_arg31) (va_QEmpty
(()))))))))))))))))))))
val va_lemma_MulAdd_unroll_1way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_1way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) /\ va_state_eq va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_1way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_1way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_1way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 106 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 133 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_ok]) va_sM
va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 1 /\
in_b_blocks in_b index 1 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) . let va_sM = va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 va_s0))) in va_get_ok
va_sM /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 1 0) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_1way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_1way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_1way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_1way (va_code_MulAdd_unroll_1way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))));
va_lemma_norm_mods ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_1way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_1way ())) =
(va_QProc (va_code_MulAdd_unroll_1way ()) ([va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec
0]) (va_wp_MulAdd_unroll_1way in_b index h prev data) (va_wpProof_MulAdd_unroll_1way in_b index
h prev data))
//--
//-- MulAdd_unroll_2way
val va_code_MulAdd_unroll_2way : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_MulAdd_unroll_2way () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
8) (va_op_vec_opr_vec 6)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec
1) (va_op_vec_opr_vec 0)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec
10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_CCons (va_code_VPolyMulHigh
(va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_CCons
(va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11)) (va_CNil
())))))))))))))))
val va_codegen_success_MulAdd_unroll_2way : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_MulAdd_unroll_2way () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8) (va_op_reg_opr_reg 7) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec
6)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 0)) (va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14)) (va_pbool_and (va_codegen_success_VPolyMul
(va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0)
(va_op_vec_opr_vec 13)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
11)) (va_ttrue ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_MulAdd_unroll_2way (va_mods:va_mods_t) (in_b:buffer128) (index:nat) (h:poly)
(prev:poly) (data:(seq quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (pdata:(Prims.int
-> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in let
(data_0:poly) = pdata 0 in let (data_1:poly) = pdata 1 in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 196 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 197 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 0)
(va_op_reg_opr_reg 7) Secret in_b index) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 198 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 1) (va_op_vec_opr_vec 8)
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 10) Secret in_b (index + 1)) (fun (va_s:va_state) _ ->
let (va_arg95:Vale.Math.Poly2_s.poly) = h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 200 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg95 1) (let
(va_arg94:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 201 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg94) (let
(va_arg93:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 202 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg93 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 203 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 204 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg92:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg91:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 205 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg91 va_arg92) (let
(va_arg90:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 206 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg90 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 207 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg89:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg88:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 208 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg88 va_arg89) (let
(va_arg87:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 209 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg87 64) (let
(va_arg86:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 210 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg86 64) (let
(va_arg85:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 211 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg85) (let
(va_arg84:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 212 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg84 64) (let
(va_arg83:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 213 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg83 64) (let
(va_arg82:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg81:Vale.Math.Poly2_s.poly) = data_1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 214 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg81 va_arg82) (va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 215 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 0) (let (va_arg80:Vale.Math.Poly2_s.poly)
= h in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 218 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power va_arg80 2) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 219 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 0)) (fun
(va_s:va_state) _ -> let (va_arg79:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 220 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg79) (let
(va_arg78:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 221 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg78 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 222 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 14))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 223 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 12)) (fun
(va_s:va_state) _ -> let (va_arg77:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg76:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
2) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 224 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg76 va_arg77) (let
(va_arg75:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 225 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg75 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 226 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 11) (va_op_vec_opr_vec 0) (va_op_vec_opr_vec 13))
(fun (va_s:va_state) _ -> let (va_arg74:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64
in let (va_arg73:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 227 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg73 va_arg74) (let
(va_arg72:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 228 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg72 64) (let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 229 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg71 64) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 230 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 231 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg69 64) (let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 232 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg68 64) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.shift (add prev
data_0) (-64)) (Vale.Math.Poly2.mask (Vale.AES.GHash_BE.gf128_power h 2) 64) in let
(va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2.mask (add prev
data_0) 64) (Vale.Math.Poly2_s.shift (Vale.AES.GHash_BE.gf128_power h 2) (-64)) in let
(va_arg65:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 3 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 233 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_associate va_arg65 va_arg66 va_arg67) (let
(va_arg64:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 2 in let
(va_arg63:Vale.Math.Poly2_s.poly) = add prev data_0 in let (va_arg62:Vale.Math.Poly2_s.poly) =
of_quad32 (va_get_vec 4 va_s) in let (va_arg61:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec
3 va_s) in let (va_arg60:Vale.Math.Poly2_s.poly) = of_quad32 (va_get_vec 2 va_s) in va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 236 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128_accum va_arg60 va_arg61 va_arg62 va_arg63
va_arg64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 237 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 238 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 239 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 11))
(va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))
val va_lemma_MulAdd_unroll_2way : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 -> index:nat ->
h:poly -> prev:poly -> data:(seq quad32)
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_MulAdd_unroll_2way ()) va_s0 /\ va_get_ok va_s0 /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3
va_sM)) 64)) (Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM))
128) == Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))
[@"opaque_to_smt"]
let va_lemma_MulAdd_unroll_2way va_b0 va_s0 in_b index h prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_MulAdd_unroll_2way va_mods in_b index h prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_MulAdd_unroll_2way ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 156 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in label va_range1
"***** POSTCONDITION NOT MET AT line 192 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(add (add (Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq quad32))
(va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) =
Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in FStar.Seq.Base.length #quad32 data == 2 /\
in_b_blocks in_b index 2 (va_get_mem_heaplet 1 va_s0) (va_get_mem_layout va_s0) (va_get_reg 7
va_s0) data /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_s0) == prev /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall
(va_x_r10:nat64) (va_x_v0:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32) (va_x_v11:quad32) . let va_sM = va_upd_vec
11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4
va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 0 va_x_v0 (va_upd_reg 10
va_x_r10 va_s0)))))))) in va_get_ok va_sM /\ (let (pdata:(Prims.int ->
Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 data in add (add
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_sM)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_sM)) 64)) (Vale.Math.Poly2_s.shift
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_sM)) 128) ==
Vale.AES.GHash_BE.ghash_unroll_back h prev pdata 0 2 1) ==> va_k va_sM (())))
val va_wpProof_MulAdd_unroll_2way : in_b:buffer128 -> index:nat -> h:poly -> prev:poly -> data:(seq
quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_MulAdd_unroll_2way in_b index h prev data va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec
11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 0; va_Mod_reg 10]) va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_MulAdd_unroll_2way in_b index h prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_MulAdd_unroll_2way (va_code_MulAdd_unroll_2way ()) va_s0 in_b index
h prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM va_s0)))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_MulAdd_unroll_2way (in_b:buffer128) (index:nat) (h:poly) (prev:poly) (data:(seq
quad32)) : (va_quickCode unit (va_code_MulAdd_unroll_2way ())) =
(va_QProc (va_code_MulAdd_unroll_2way ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 0; va_Mod_reg 10])
(va_wp_MulAdd_unroll_2way in_b index h prev data) (va_wpProof_MulAdd_unroll_2way in_b index h
prev data))
//--
//-- Reduce
val va_code_Reduce : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Reduce () =
(va_Block (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_Low64ToHigh
(va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 10)
(va_op_vec_opr_vec 2)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
2) (va_op_vec_opr_vec 8)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 3)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 10)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2))
(va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
4)) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
2)) (va_CNil ()))))))))))))))
val va_codegen_success_Reduce : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Reduce () =
(va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3)) (va_pbool_and
(va_codegen_success_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9))
(va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2))
(va_pbool_and (va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2)
(va_op_vec_opr_vec 8)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 3)
(va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 4)
(va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (va_pbool_and (va_codegen_success_VPolyAdd
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_pbool_and
(va_codegen_success_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec
8)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 4)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_ttrue ())))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Reduce (va_mods:va_mods_t) (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 265 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 266 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod a1 64) (let
(va_arg39:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.mask a1 64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 267 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_shift_is_mul va_arg39 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 268 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg38:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift (Vale.Math.Poly2.mask a1 64) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 269 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg38) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 270 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 271 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 10) (va_op_vec_opr_vec 2)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 272 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8)) (fun
(va_s:va_state) _ -> va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 273 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div a1 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 274 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 3) a1) (fun (va_s:va_state) _ ->
let (va_arg37:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.shift a1 (-64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 275 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg37) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 276 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 3)) (fun
(va_s:va_state) _ -> let (va_arg36:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 10 va_s) in let (va_arg35:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 277 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.lemma_add_commute va_arg35 va_arg36) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 278 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 10)) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 279 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 280 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 8))
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 281 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 4)) (va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 282 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 2)) (fun
(va_s:va_state) _ -> let (va_arg34:Vale.Math.Poly2_s.poly) = f in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 283 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_reduce_rev a0 a1 a2 va_arg34 64) (va_QEmpty
(()))))))))))))))))))))))
val va_lemma_Reduce : va_b0:va_code -> va_s0:va_state -> f:poly
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Reduce ()) va_s0 /\ va_get_ok va_s0 /\ (let
(g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0)))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in let
(c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in
let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) /\ va_state_eq va_sM
(va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 9 va_sM
(va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM (va_update_vec 0 va_sM
(va_update_ok va_sM va_s0)))))))))))
[@"opaque_to_smt"]
let va_lemma_Reduce va_b0 va_s0 f =
let (va_mods:va_mods_t) = [va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_Reduce va_mods f in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Reduce ()) va_qc va_s0 (fun va_s0 va_sM
va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 242 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f
in let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1))
63 in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0)
in let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in
let (a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in label va_range1
"***** POSTCONDITION NOT MET AT line 263 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) == Vale.Math.Poly2_s.reverse (mod
(Vale.Math.Poly2_s.reverse a 255) g) 127))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Reduce (f:poly) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (g:Vale.Math.Poly2_s.poly) = add (Vale.Math.Poly2_s.monomial 128) f in
let (c:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63
in let (a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in
let (a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) (-64) == zero /\ Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 8 va_s0)) 64 == c /\ Vale.Math.Poly2_s.degree f < 64 /\ Vale.Math.Poly2_s.degree g
== 128 /\ Vale.Math.Poly2_s.poly_index f 0) /\ (forall (va_x_v0:quad32) (va_x_v10:quad32)
(va_x_v8:quad32) (va_x_v2:quad32) (va_x_v9:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v1:quad32) . let va_sM = va_upd_vec 1 va_x_v1 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3
(va_upd_vec 9 va_x_v9 (va_upd_vec 2 va_x_v2 (va_upd_vec 8 va_x_v8 (va_upd_vec 10 va_x_v10
(va_upd_vec 0 va_x_v0 va_s0))))))) in va_get_ok va_sM /\ (let (g:Vale.Math.Poly2_s.poly) = add
(Vale.Math.Poly2_s.monomial 128) f in let (c:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2_s.reverse (Vale.Math.Poly2_s.shift f (-1)) 63 in let
(a0:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 2 va_s0) in let
(a1:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 3 va_s0) in let
(a2:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 4 va_s0) in let
(a:Vale.Math.Poly2_s.poly) = add (add a0 (Vale.Math.Poly2_s.shift a1 64))
(Vale.Math.Poly2_s.shift a2 128) in Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) ==
Vale.Math.Poly2_s.reverse (mod (Vale.Math.Poly2_s.reverse a 255) g) 127) ==> va_k va_sM (())))
val va_wpProof_Reduce : f:poly -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Reduce f va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Reduce f va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Reduce (va_code_Reduce ()) va_s0 f in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 1 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM
(va_update_vec 9 va_sM (va_update_vec 2 va_sM (va_update_vec 8 va_sM (va_update_vec 10 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9; va_Mod_vec 2;
va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Reduce (f:poly) : (va_quickCode unit (va_code_Reduce ())) =
(va_QProc (va_code_Reduce ()) ([va_Mod_vec 1; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 9;
va_Mod_vec 2; va_Mod_vec 8; va_Mod_vec 10; va_Mod_vec 0]) (va_wp_Reduce f) (va_wpProof_Reduce
f))
//--
//-- ReduceLast
[@ "opaque_to_smt" va_qattr]
let va_code_ReduceLast () =
(va_Block (va_CCons (va_code_Reduce ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block
(va_CNil ())) (va_CNil ())))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_ReduceLast () =
(va_pbool_and (va_codegen_success_Reduce ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_ReduceLast (va_mods:va_mods_t) (h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) :
(va_quickCode unit (va_code_ReduceLast ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 311 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev ()) (va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 312 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_gf128_degree ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 313 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Reduce gf128_modulus_low_terms) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg25:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 314 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward h prev pdata 0 va_arg25)
(va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(n - 1 >= 0) (fun _ -> let (va_arg24:Prims.nat) = n - 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 315 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll h prev pdata 0 va_arg24) (let
(va_arg23:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = data in let
(va_arg22:Vale.Def.Types_s.quad32) = y_prev in let (va_arg21:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 316 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental_poly va_arg21 va_arg22 va_arg23)
(let (va_arg20:Vale.Def.Types_s.quad32) = Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 317 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_to_of_quad32 va_arg20) (va_QEmpty (()))))))))))))
[@"opaque_to_smt"]
let va_lemma_ReduceLast va_b0 va_s0 h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok] in
let va_qc = va_qcode_ReduceLast va_mods h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_ReduceLast ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 286 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let xi = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 1 va_sM) in label va_range1
"***** POSTCONDITION NOT MET AT line 308 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.to_quad32 xi == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data)
/\ label va_range1
"***** POSTCONDITION NOT MET AT line 309 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(xi == Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Math.Poly2.Bits_s.to_quad32 xi))))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_ReduceLast h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_ReduceLast (va_code_ReduceLast ()) va_s0 h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_ok va_sM va_s0))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- GhashUnroll_n
[@ "opaque_to_smt" va_qattr]
let va_code_GhashUnroll_n exactly2 =
(va_Block (va_CCons (if exactly2 then va_Block (va_CCons (va_code_MulAdd_unroll_2way ()) (va_CNil
())) else va_Block (va_CCons (va_code_MulAdd_unroll_1way ()) (va_CNil ()))) (va_CCons
(va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons (va_code_LoadImmShl64 (va_op_reg_opr_reg
10) (-15872)) (va_CCons (va_code_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10))
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4)
(va_CCons (va_code_ReduceLast ()) (va_CNil ())))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_GhashUnroll_n exactly2 =
(va_pbool_and (if exactly2 then va_pbool_and (va_codegen_success_MulAdd_unroll_2way ()) (va_ttrue
()) else va_pbool_and (va_codegen_success_MulAdd_unroll_1way ()) (va_ttrue ())) (va_pbool_and
(va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0) (va_pbool_and
(va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue ()))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_GhashUnroll_n (va_mods:va_mods_t) (exactly2:bool) (in_b:buffer128) (index:nat)
(h_BE:quad32) (y_prev:quad32) (data:(seq quad32)) : (va_quickCode unit (va_code_GhashUnroll_n
exactly2)) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 361 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qInlineIf va_mods exactly2 (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 363 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_2way in_b index h prev data) (va_QEmpty (())))) (qblock va_mods (fun
(va_s:va_state) -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 367 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_MulAdd_unroll_1way in_b index h prev data) (va_QEmpty (()))))) (fun (va_s:va_state)
va_g -> va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 369 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 370 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg27:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 371 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg27 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 372 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 373 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 374 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 375 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (())))))))))))
[@"opaque_to_smt"]
let va_lemma_GhashUnroll_n va_b0 va_s0 exactly2 in_b index h_BE y_prev data =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok] in
let va_qc = va_qcode_GhashUnroll_n va_mods exactly2 in_b index h_BE y_prev data in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_GhashUnroll_n exactly2) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 320 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in let (n:Prims.nat) = FStar.Seq.Base.length #quad32 data in label va_range1
"***** POSTCONDITION NOT MET AT line 359 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_GhashUnroll_n exactly2 in_b index h_BE y_prev data va_s0 va_k =
let (va_sM, va_f0) = va_lemma_GhashUnroll_n (va_code_GhashUnroll_n exactly2) va_s0 exactly2 in_b
index h_BE y_prev data in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
va_s0))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_register
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_register () =
(va_Block (va_CCons (va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec
9)) (va_CCons (va_code_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 7)) (va_CCons (va_code_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec
9) (va_op_vec_opr_vec 6)) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 8) 0) (va_CCons
(va_code_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_CCons (va_code_Mtvsrws
(va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_CCons (va_code_Vsldoi (va_op_vec_opr_vec 8)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_CCons (va_code_ReduceLast ()) (va_CNil
()))))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_register () =
(va_pbool_and (va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5) (va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Vspltisw
(va_op_vec_opr_vec 0) 0) (va_pbool_and (va_codegen_success_VSwap (va_op_vec_opr_vec 5)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_pbool_and (va_codegen_success_VPolyAdd (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (va_pbool_and (va_codegen_success_VPolyMulLow
(va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7)) (va_pbool_and
(va_codegen_success_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5))
(va_pbool_and (va_codegen_success_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9)
(va_op_vec_opr_vec 6)) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 8) 0)
(va_pbool_and (va_codegen_success_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (va_pbool_and
(va_codegen_success_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_pbool_and
(va_codegen_success_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4)
(va_pbool_and (va_codegen_success_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1)
(va_op_vec_opr_vec 8) 4) (va_pbool_and (va_codegen_success_ReduceLast ()) (va_ttrue
()))))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_register (va_mods:va_mods_t) (hkeys_b:buffer128) (h_BE:quad32) (y_prev:quad32) :
(va_quickCode unit (va_code_Ghash_register ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s) in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 405 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret hkeys_b 0) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 406 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 407 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (fun (va_s:va_state) _ -> let
(va_arg71:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 408 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg71) (let
(va_arg70:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 409 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg70) (let
(va_arg69:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 410 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg69) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 411 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 412 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5) (Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64)) (fun (va_s:va_state) _ -> let
(va_arg68:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 413 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg68) (let
(va_arg67:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 414 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg67) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(0 >= 0 /\ (fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let
(i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539
s_540))) quad32 data 0) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 416 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 9 va_s == FStar.Seq.Base.index #quad32 data 0) (let (data_i:poly) = pdata 0 in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 419 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_gf128_power h 1) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 420 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyAdd (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 9)) (fun
(va_s:va_state) _ -> let (va_arg66:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s)) (Vale.Math.Poly2_s.monomial 64) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 421 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_degree_negative va_arg66) (let
(va_arg65:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 422 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg65 64) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 423 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulLow (va_op_vec_opr_vec 2) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 7))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 424 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMul (va_op_vec_opr_vec 3) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 5)) (fun
(va_s:va_state) _ -> let (va_arg64:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg63:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h
1) (Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 425 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_div_mod_exact va_arg63 va_arg64) (let
(va_arg62:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 426 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg62 64) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 427 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VPolyMulHigh (va_op_vec_opr_vec 4) (va_op_vec_opr_vec 9) (va_op_vec_opr_vec 6)) (fun
(va_s:va_state) _ -> let (va_arg61:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.monomial 64 in
let (va_arg60:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 428 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mod_mod va_arg60 va_arg61) (let
(va_arg59:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 429 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg59 64) (let
(va_arg58:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 430 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_mask_is_mod va_arg58 64) (let
(va_arg57:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 431 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_swap128_mask_shift va_arg57) (let
(va_arg56:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 432 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg56 64) (let
(va_arg55:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 433 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.Math.Poly2.Lemmas.lemma_shift_is_div va_arg55 64) (let
(va_arg54:Vale.Math.Poly2_s.poly) = Vale.AES.GHash_BE.gf128_power h 1 in let
(va_arg53:Vale.Math.Poly2_s.poly) = add prev data_i in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 434 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GF128.lemma_Mul128 va_arg53 va_arg54) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 436 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 8) 0) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 437 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImmShl64 (va_op_reg_opr_reg 10) (-15872)) (fun (va_s:va_state) _ -> let
(va_arg52:Vale.Def.Types_s.nat64) = (-15872) `op_Modulus` pow2_64 in va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 438 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.Types_helpers.lemma_ishl_64 va_arg52 16) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 439 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mtvsrws (va_op_vec_opr_vec 0) (va_op_reg_opr_reg 10)) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 440 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 0) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 441 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vsldoi (va_op_vec_opr_vec 8) (va_op_vec_opr_vec 1) (va_op_vec_opr_vec 8) 4) (va_QSeq
va_range1
"***** PRECONDITION NOT MET AT line 442 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_ReduceLast h_BE y_prev data) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_register va_b0 va_s0 hkeys_b h_BE y_prev =
let (va_mods:va_mods_t) = [va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok] in
let va_qc = va_qcode_Ghash_register va_mods hkeys_b h_BE y_prev in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_register ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 378 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (data:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.create #quad32 1 (va_get_vec 9 va_s0)
in let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let
(pdata:(Prims.int -> Vale.AES.GHash_BE.poly128)) = Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128
data in label va_range1
"***** POSTCONDITION NOT MET AT line 403 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental h_BE y_prev data))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@"opaque_to_smt"]
let va_wpProof_Ghash_register hkeys_b h_BE y_prev va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_register (va_code_Ghash_register ()) va_s0 hkeys_b h_BE
y_prev in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 7 va_sM (va_update_vec 6 va_sM (va_update_vec 5 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 7; va_Mod_vec 6;
va_Mod_vec 5; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
//--
//-- Ghash_buffer_loop_body
val va_code_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_loop_body () =
(va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CCons
(va_code_GhashUnroll_n true) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil
())) (va_CCons (va_code_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_CCons
(va_code_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_CNil ())))))))))
val va_codegen_success_Ghash_buffer_loop_body : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_loop_body () =
(va_pbool_and (va_codegen_success_GhashUnroll_n true) (va_pbool_and (va_codegen_success_AddImm
(va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_pbool_and (va_codegen_success_SubImm
(va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_ttrue ()))))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_loop_body (va_mods:va_mods_t) (in_b:buffer128) (h_BE:quad32)
(y_prev:quad32) (old_len:nat64) (index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body
())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let
(h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 501 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) index (index + 2)) (fun _ -> let (data:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) index (index + 2) in va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 502 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_GhashUnroll_n true in_b index h_BE (Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index)) data) (fun
(va_s:va_state) _ -> va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index) (fun _ -> let (va_arg27:(FStar.Seq.Base.seq
Vale.Def.Types_s.quad32)) = FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index in let (va_arg26:Vale.Def.Types_s.quad32) = va_get_vec 1 va_s in let
(va_arg25:Vale.Def.Types_s.quad32) = va_get_vec 1 va_old_s in let
(va_arg24:Vale.Def.Types_s.quad32) = y_prev in let (va_arg23:Vale.Def.Types_s.quad32) = h_BE in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 503 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_:unit) -> Vale.AES.GHash_BE.lemma_ghash_incremental0_append va_arg23 va_arg24 va_arg25
va_arg26 va_arg27 data) (va_qAssertSquash va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let
(j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908
j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907))))
Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s) in_b)) 0 index /\ (fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906))
(i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t
(Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869
(FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 (index + 2)) (fun _ -> va_qAssert va_range1
"***** PRECONDITION NOT MET AT line 505 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(FStar.Seq.Base.equal #Vale.Def.Types_s.quad32 (FStar.Seq.Base.append #Vale.Def.Types_s.quad32
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 index) data)
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b)) 0 (index + 2))) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 507 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_AddImm (va_op_reg_opr_reg 7) (va_op_reg_opr_reg 7) 32) (va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 508 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_SubImm (va_op_reg_opr_reg 6) (va_op_reg_opr_reg 6) 2) (va_QEmpty (()))))))))))))
val va_lemma_Ghash_buffer_loop_body : va_b0:va_code -> va_s0:va_state -> in_b:buffer128 ->
h_BE:quad32 -> y_prev:quad32 -> old_len:nat64 -> index:nat
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_loop_body ()) va_s0 /\ va_get_ok va_s0 /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6 va_s0
>= 2 /\ index + va_get_reg 6 va_s0 == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0) in_b index (va_get_reg 6 va_s0)
(va_get_mem_layout va_s0) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_s0 + 16 `op_Multiply`
va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b)) 0 index) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64))))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
(let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let
(prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index +
2 in index' + va_get_reg 6 va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128
(va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM)
(va_get_mem_layout va_sM) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7 va_sM + 16 `op_Multiply`
va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE
y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) in_b)) 0 index') /\ va_get_reg 7 va_sM ==
va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2) /\ va_state_eq va_sM
(va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 1 va_sM
(va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM (va_update_reg 7 va_sM
(va_update_ok va_sM va_s0)))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_loop_body va_b0 va_s0 in_b h_BE y_prev old_len index =
let (va_mods:va_mods_t) = [va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec
4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6;
va_Mod_reg 7; va_Mod_ok] in
let va_qc = va_qcode_Ghash_buffer_loop_body va_mods in_b h_BE y_prev old_len index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_loop_body ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 445 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in label va_range1
"***** POSTCONDITION NOT MET AT line 487 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(let index' = index + 2 in label va_range1
"***** POSTCONDITION NOT MET AT line 489 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index' + va_get_reg 6 va_sM == old_len) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 492 column 84 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 493 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len) /\ label
va_range1
"***** POSTCONDITION NOT MET AT line 494 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 495 column 110 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) in_b)) 0 index')) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 498 column 37 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 499 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_sM == va_get_reg 6 va_s0 - 2)))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let (h:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
let (prev:Vale.Math.Poly2_s.poly) = Vale.Math.Poly2.Bits_s.of_quad32 y_prev in va_get_reg 6
va_s0 >= 2 /\ index + va_get_reg 6 va_s0 == old_len /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
in_b index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1 va_s0 ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s0)
in_b)) 0 index) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64)) /\ (forall (va_x_r7:nat64)
(va_x_r6:nat64) (va_x_r10:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v2:quad32)
(va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32) (va_x_v10:quad32)
(va_x_v11:quad32) . let va_sM = va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 9
va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 10 va_x_r10 (va_upd_reg 6 va_x_r6
(va_upd_reg 7 va_x_r7 va_s0))))))))))) in va_get_ok va_sM /\ (let (h:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 h_BE in let (prev:Vale.Math.Poly2_s.poly) =
Vale.Math.Poly2.Bits_s.of_quad32 y_prev in let index' = index + 2 in index' + va_get_reg 6
va_sM == old_len /\ Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM)
(va_get_reg 7 va_sM) in_b index' (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 in_b == old_len /\ va_get_reg 7
va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1 va_sM ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM)
in_b)) 0 index') /\ va_get_reg 7 va_sM == va_get_reg 7 va_s0 + 32 /\ va_get_reg 6 va_sM ==
va_get_reg 6 va_s0 - 2) ==> va_k va_sM (())))
val va_wpProof_Ghash_buffer_loop_body : in_b:buffer128 -> h_BE:quad32 -> y_prev:quad32 ->
old_len:nat64 -> index:nat -> va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index
va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_loop_body ())
([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3;
va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg 7]) va_s0
va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Ghash_buffer_loop_body (va_code_Ghash_buffer_loop_body ()) va_s0
in_b h_BE y_prev old_len index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 9 va_sM
(va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 10 va_sM (va_update_reg 6 va_sM
(va_update_reg 7 va_sM (va_update_ok va_sM va_s0))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4;
va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 10; va_Mod_reg 6; va_Mod_reg
7]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_loop_body (in_b:buffer128) (h_BE:quad32) (y_prev:quad32) (old_len:nat64)
(index:nat) : (va_quickCode unit (va_code_Ghash_buffer_loop_body ())) =
(va_QProc (va_code_Ghash_buffer_loop_body ()) ([va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg
10; va_Mod_reg 6; va_Mod_reg 7]) (va_wp_Ghash_buffer_loop_body in_b h_BE y_prev old_len index)
(va_wpProof_Ghash_buffer_loop_body in_b h_BE y_prev old_len index))
//--
//-- Mod_cr0
val va_code_Mod_cr0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Mod_cr0 () =
(va_Block (va_CNil ()))
val va_codegen_success_Mod_cr0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Mod_cr0 () =
(va_ttrue ())
[@ "opaque_to_smt" va_qattr]
let va_qcode_Mod_cr0 (va_mods:va_mods_t) : (va_quickCode unit (va_code_Mod_cr0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QEmpty (())))
val va_lemma_Mod_cr0 : va_b0:va_code -> va_s0:va_state
-> Ghost (va_state & va_fuel)
(requires (va_require_total va_b0 (va_code_Mod_cr0 ()) va_s0 /\ va_get_ok va_s0))
(ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\
va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0))))
[@"opaque_to_smt"]
let va_lemma_Mod_cr0 va_b0 va_s0 =
let (va_mods:va_mods_t) = [va_Mod_cr0; va_Mod_ok] in
let va_qc = va_qcode_Mod_cr0 va_mods in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Mod_cr0 ()) va_qc va_s0 (fun va_s0
va_sM va_g -> let () = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 511 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM)) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_cr0; va_Mod_ok]) va_sM va_s0;
(va_sM, va_fM)
[@ va_qattr]
let va_wp_Mod_cr0 (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (forall (va_x_cr0:cr0_t) . let va_sM = va_upd_cr0 va_x_cr0 va_s0 in va_get_ok
va_sM ==> va_k va_sM (())))
val va_wpProof_Mod_cr0 : va_s0:va_state -> va_k:(va_state -> unit -> Type0)
-> Ghost (va_state & va_fuel & unit)
(requires (va_t_require va_s0 /\ va_wp_Mod_cr0 va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_s0 va_k
((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Mod_cr0 va_s0 va_k =
let (va_sM, va_f0) = va_lemma_Mod_cr0 (va_code_Mod_cr0 ()) va_s0 in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_cr0 va_sM (va_update_ok va_sM va_s0)));
va_lemma_norm_mods ([va_Mod_cr0]) va_sM va_s0;
let va_g = () in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Mod_cr0 () : (va_quickCode unit (va_code_Mod_cr0 ())) =
(va_QProc (va_code_Mod_cr0 ()) ([va_Mod_cr0]) va_wp_Mod_cr0 va_wpProof_Mod_cr0)
//--
//-- Ghash_buffer_body0
val va_code_Ghash_buffer_body0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_body0 () =
(va_Block (va_CCons (va_code_Mod_cr0 ()) (va_CCons (va_code_Ghash_buffer_loop_body ()) (va_CNil
()))))
val va_codegen_success_Ghash_buffer_body0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_body0 () =
(va_pbool_and (va_codegen_success_Mod_cr0 ()) (va_pbool_and
(va_codegen_success_Ghash_buffer_loop_body ()) (va_ttrue ())))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_body0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_body0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 595 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Mod_cr0 ()) (va_QBind va_range1
"***** PRECONDITION NOT MET AT line 596 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_loop_body in_b h_BE y_prev (va_get_reg 6 va_old) index) (fun
(va_s:va_state) _ -> let (index:nat) = index + 2 in va_QEmpty ((index))))))
val va_lemma_Ghash_buffer_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_body0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) /\ va_state_eq va_sM (va_update_vec 9
va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2
va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0
va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM
(va_update_cr0 va_sM va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_body0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_body0 va_mods va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_body0 ()) va_qc va_s0 (fun
va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 592 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ va_get_reg 6 va_s0 >= 2 /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool)
(va_x_r10:nat64) (va_x_r6:nat64) (va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32)
(va_x_v10:quad32) (va_x_v11:quad32) (va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32)
(va_x_v8:quad32) (va_x_v9:quad32) (index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8
va_x_v8 (va_upd_vec 4 va_x_v4 (va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11
va_x_v11 (va_upd_vec 10 va_x_v10 (va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7
va_x_r7 (va_upd_reg 6 va_x_r6 (va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0
va_s0))))))))))))) in va_get_ok va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\
va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
1) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
precedes_wrap (va_get_reg 6 va_sM) (va_get_reg 6 va_s0) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_body0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9;
va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_body0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_body0 (va_code_Ghash_buffer_body0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_body0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_body0 ())) =
(va_QProc (va_code_Ghash_buffer_body0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_body0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer_while0
val va_code_Ghash_buffer_while0 : va_dummy:unit -> Tot va_code
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer_while0 () =
(va_Block (va_CCons (va_While (va_cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (va_Block (va_CCons
(va_code_Ghash_buffer_body0 ()) (va_CNil ())))) (va_CNil ())))
val va_codegen_success_Ghash_buffer_while0 : va_dummy:unit -> Tot va_pbool
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer_while0 () =
(va_pbool_and (va_codegen_success_Ghash_buffer_body0 ()) (va_ttrue ()))
[@ "opaque_to_smt" va_qattr]
let va_qcode_Ghash_buffer_while0 (va_mods:va_mods_t) (va_old:va_state) (va_in_h:poly)
(va_in_h_BE:quad32) (va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) :
(va_quickCode (nat) (va_code_Ghash_buffer_while0 ())) =
(qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h:poly) = va_in_h
in let (h_BE:quad32) = va_in_h_BE in let (in_b:buffer128) = va_in_in_b in let (y_prev:quad32) =
va_in_y_prev in let (index:nat) = va_in_index in va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_qWhile va_mods (Cmp_ge (va_op_cmp_reg 6) (va_const_cmp 2)) (fun va_g -> let (index:nat) =
let index = va_g in index in qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1
"***** PRECONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_body0 va_old h h_BE in_b y_prev index) (fun (va_s:va_state) (index:nat)
-> va_QEmpty ((index))))) (fun (va_s:va_state) va_g -> let (index:nat) = let index = va_g in
index in va_get_ok va_s /\ index + va_get_reg 6 va_s == va_get_reg 6 va_old /\ va_get_reg 7
va_s == va_get_reg 7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s) ==
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power h 1) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_s)
== Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power h 2)
(Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s) (va_get_reg 7 va_s) in_b
index (va_get_reg 6 va_s) (va_get_mem_layout va_s) Secret /\ Vale.PPC64LE.Decls.buffer_length
#Vale.PPC64LE.Memory.vuint128 in_b == va_get_reg 6 va_old /\ va_get_reg 7 va_s + 16
`op_Multiply` va_get_reg 6 va_s < pow2_64 /\ va_get_vec 1 va_s ==
Vale.AES.GHash_BE.ghash_incremental0 h_BE y_prev (FStar.Seq.Base.slice #Vale.Def.Types_s.quad32
(Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_s)
in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_s == va_get_vec 1 va_old) /\ h
== Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (fun (va_s:va_state) va_g -> let (index:nat) = let
index = va_g in index in va_get_reg 6 va_s) ((index))) (fun (va_s:va_state) va_g -> let
(index:nat) = let index = va_g in index in let va_g = (index) in let (index:nat) = va_g in
va_QEmpty ((index)))))
val va_lemma_Ghash_buffer_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state ->
va_in_h:poly -> va_in_h_BE:quad32 -> va_in_in_b:buffer128 -> va_in_y_prev:quad32 ->
va_in_index:nat
-> Ghost (va_state & va_fuel & nat)
(requires (va_require_total va_b0 (va_code_Ghash_buffer_while0 ()) va_s0 /\ va_get_ok va_s0 /\
va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0 == va_get_reg 7
va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_s0)
== Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE))
(ensures (fun (va_sM, va_fM, index) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM
/\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg 7
va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) /\ va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM
(va_update_vec 4 va_sM (va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM
(va_update_vec 10 va_sM (va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM
(va_update_reg 6 va_sM (va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM
va_s0))))))))))))))))
[@"opaque_to_smt"]
let va_lemma_Ghash_buffer_while0 va_b0 va_s0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev
va_in_index =
let va_old = va_expand_state va_old in
let (va_mods:va_mods_t) = [va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0] in
let va_qc = va_qcode_Ghash_buffer_while0 va_mods va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index in
let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_buffer_while0 ()) va_qc va_s0
(fun va_s0 va_sM va_g -> let index = va_g in label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_ok va_sM) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 575 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(index + va_get_reg 6 va_sM == va_get_reg 6 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 576 column 49 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM == va_get_reg 7 va_old + 16 `op_Multiply` index) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 579 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 1) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 580 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 581 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 582 column 60 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 583 column 88 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 584 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 585 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 586 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 587 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 588 column 113 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_vec 1 va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev
(FStar.Seq.Base.slice #Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq
(Vale.PPC64LE.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index)) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 589 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_get_reg 6 va_old == 0 ==> va_get_vec 1 va_sM == va_get_vec 1 va_old) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 590 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE) /\ label va_range1
"***** POSTCONDITION NOT MET AT line 517 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(~(va_get_reg 6 va_sM >= 2))) in
assert_norm (va_qc.mods == va_mods);
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let index = va_g in
(va_sM, va_fM, index)
[@ va_qattr]
let va_wp_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) (va_s0:va_state) (va_k:(va_state
-> nat -> Type0)) : Type0 =
(va_get_ok va_s0 /\ va_in_index + va_get_reg 6 va_s0 == va_get_reg 6 va_old /\ va_get_reg 7 va_s0
== va_get_reg 7 va_old + 16 `op_Multiply` va_in_index /\ Vale.Math.Poly2.Bits_s.of_quad32
(va_get_vec 5 va_s0) == Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_s0) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_s0)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_s0) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_s0) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_s0) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_s0) (va_get_reg 7 va_s0)
va_in_in_b va_in_index (va_get_reg 6 va_s0) (va_get_mem_layout va_s0) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_s0 + 16 `op_Multiply` va_get_reg 6 va_s0 < pow2_64 /\ va_get_vec 1
va_s0 == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_s0) va_in_in_b)) 0 va_in_index) /\ (va_get_reg 6 va_old == 0 ==>
va_get_vec 1 va_s0 == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32
va_in_h_BE /\ (forall (va_x_cr0:cr0_t) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r6:nat64)
(va_x_r7:nat64) (va_x_v0:quad32) (va_x_v1:quad32) (va_x_v10:quad32) (va_x_v11:quad32)
(va_x_v2:quad32) (va_x_v3:quad32) (va_x_v4:quad32) (va_x_v8:quad32) (va_x_v9:quad32)
(index:nat) . let va_sM = va_upd_vec 9 va_x_v9 (va_upd_vec 8 va_x_v8 (va_upd_vec 4 va_x_v4
(va_upd_vec 3 va_x_v3 (va_upd_vec 2 va_x_v2 (va_upd_vec 11 va_x_v11 (va_upd_vec 10 va_x_v10
(va_upd_vec 1 va_x_v1 (va_upd_vec 0 va_x_v0 (va_upd_reg 7 va_x_r7 (va_upd_reg 6 va_x_r6
(va_upd_reg 10 va_x_r10 (va_upd_ok va_x_ok (va_upd_cr0 va_x_cr0 va_s0))))))))))))) in va_get_ok
va_sM /\ index + va_get_reg 6 va_sM == va_get_reg 6 va_old /\ va_get_reg 7 va_sM == va_get_reg
7 va_old + 16 `op_Multiply` index /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 5 va_sM) ==
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power va_in_h 1) 64 /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 6 va_sM) == Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64)) (Vale.Math.Poly2_s.monomial 64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 7 va_sM)
== Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power va_in_h 1) (Vale.Math.Poly2_s.monomial
64) /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 12 va_sM) == Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power va_in_h 2) 64 /\ Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 13
va_sM) == Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div (Vale.AES.GHash_BE.gf128_power va_in_h
2) (Vale.Math.Poly2_s.monomial 64)) (Vale.Math.Poly2_s.monomial 64) /\
Vale.Math.Poly2.Bits_s.of_quad32 (va_get_vec 14 va_sM) == Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power va_in_h 2) (Vale.Math.Poly2_s.monomial 64) /\
Vale.PPC64LE.Decls.validSrcAddrsOffset128 (va_get_mem_heaplet 1 va_sM) (va_get_reg 7 va_sM)
va_in_in_b index (va_get_reg 6 va_sM) (va_get_mem_layout va_sM) Secret /\
Vale.PPC64LE.Decls.buffer_length #Vale.PPC64LE.Memory.vuint128 va_in_in_b == va_get_reg 6
va_old /\ va_get_reg 7 va_sM + 16 `op_Multiply` va_get_reg 6 va_sM < pow2_64 /\ va_get_vec 1
va_sM == Vale.AES.GHash_BE.ghash_incremental0 va_in_h_BE va_in_y_prev (FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32 (Vale.Arch.Types.reverse_bytes_quad32_seq (Vale.PPC64LE.Decls.s128
(va_get_mem_heaplet 1 va_sM) va_in_in_b)) 0 index) /\ (va_get_reg 6 va_old == 0 ==> va_get_vec
1 va_sM == va_get_vec 1 va_old) /\ va_in_h == Vale.Math.Poly2.Bits_s.of_quad32 va_in_h_BE /\
~(va_get_reg 6 va_sM >= 2) ==> va_k va_sM ((index))))
val va_wpProof_Ghash_buffer_while0 : va_old:va_state -> va_in_h:poly -> va_in_h_BE:quad32 ->
va_in_in_b:buffer128 -> va_in_y_prev:quad32 -> va_in_index:nat -> va_s0:va_state ->
va_k:(va_state -> nat -> Type0)
-> Ghost (va_state & va_fuel & nat)
(requires (va_t_require va_s0 /\ va_wp_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b
va_in_y_prev va_in_index va_s0 va_k))
(ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec
9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10;
va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0])
va_s0 va_k ((va_sM, va_f0, va_g))))
[@"opaque_to_smt"]
let va_wpProof_Ghash_buffer_while0 va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index
va_s0 va_k =
let (va_sM, va_f0, index) = va_lemma_Ghash_buffer_while0 (va_code_Ghash_buffer_while0 ()) va_s0
va_old va_in_h va_in_h_BE va_in_in_b va_in_y_prev va_in_index in
va_lemma_upd_update va_sM;
assert (va_state_eq va_sM (va_update_vec 9 va_sM (va_update_vec 8 va_sM (va_update_vec 4 va_sM
(va_update_vec 3 va_sM (va_update_vec 2 va_sM (va_update_vec 11 va_sM (va_update_vec 10 va_sM
(va_update_vec 1 va_sM (va_update_vec 0 va_sM (va_update_reg 7 va_sM (va_update_reg 6 va_sM
(va_update_reg 10 va_sM (va_update_ok va_sM (va_update_cr0 va_sM va_s0)))))))))))))));
va_lemma_norm_mods ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec 3; va_Mod_vec 2;
va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7; va_Mod_reg 6;
va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) va_sM va_s0;
let va_g = (index) in
(va_sM, va_f0, va_g)
[@ "opaque_to_smt" va_qattr]
let va_quick_Ghash_buffer_while0 (va_old:va_state) (va_in_h:poly) (va_in_h_BE:quad32)
(va_in_in_b:buffer128) (va_in_y_prev:quad32) (va_in_index:nat) : (va_quickCode nat
(va_code_Ghash_buffer_while0 ())) =
(va_QProc (va_code_Ghash_buffer_while0 ()) ([va_Mod_vec 9; va_Mod_vec 8; va_Mod_vec 4; va_Mod_vec
3; va_Mod_vec 2; va_Mod_vec 11; va_Mod_vec 10; va_Mod_vec 1; va_Mod_vec 0; va_Mod_reg 7;
va_Mod_reg 6; va_Mod_reg 10; va_Mod_ok; va_Mod_cr0]) (va_wp_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index) (va_wpProof_Ghash_buffer_while0 va_old va_in_h
va_in_h_BE va_in_in_b va_in_y_prev va_in_index))
//--
//-- Ghash_buffer
[@ "opaque_to_smt" va_qattr]
let va_code_Ghash_buffer () =
(va_Block (va_CCons (va_code_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_CCons
(va_code_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_CCons (va_code_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_CCons (va_code_Vspltisw (va_op_vec_opr_vec 0) 0) (va_CCons (va_code_VSwap
(va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_CCons (va_code_High64ToLow (va_op_vec_opr_vec
7) (va_op_vec_opr_vec 5)) (va_CCons (va_code_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)) (va_CCons (va_code_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12))
(va_CCons (va_code_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_CCons
(va_code_Ghash_buffer_while0 ()) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg 6)
(va_const_cmp 0)) (va_Block (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_GhashUnroll_n
false) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))
(va_Block (va_CNil ()))) (va_CNil ()))))))))))))))
[@ "opaque_to_smt" va_qattr]
let va_codegen_success_Ghash_buffer () =
(va_pbool_and (va_codegen_success_LoadImm64 (va_op_reg_opr_reg 10) 16) (va_pbool_and
(va_codegen_success_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5) Secret) (va_pbool_and (va_codegen_success_Load128_byte16_buffer_index
(va_op_heaplet_mem_heaplet 0) (va_op_vec_opr_vec 12) (va_op_reg_opr_reg 5) (va_op_reg_opr_reg
10) Secret) (va_pbool_and (va_codegen_success_Vspltisw (va_op_vec_opr_vec 0) 0) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 7) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 6) (va_op_vec_opr_vec 5)) (va_pbool_and
(va_codegen_success_VSwap (va_op_vec_opr_vec 12) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_High64ToLow (va_op_vec_opr_vec 14) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Low64ToHigh (va_op_vec_opr_vec 13) (va_op_vec_opr_vec 12)) (va_pbool_and
(va_codegen_success_Ghash_buffer_while0 ()) (va_pbool_and (va_codegen_success_GhashUnroll_n
false) (va_ttrue ()))))))))))))) | {
"checked_file": "/",
"dependencies": [
"Vale.PPC64LE.State.fsti.checked",
"Vale.PPC64LE.QuickCodes.fsti.checked",
"Vale.PPC64LE.QuickCode.fst.checked",
"Vale.PPC64LE.Memory.fsti.checked",
"Vale.PPC64LE.Machine_s.fst.checked",
"Vale.PPC64LE.InsVector.fsti.checked",
"Vale.PPC64LE.InsMem.fsti.checked",
"Vale.PPC64LE.InsBasic.fsti.checked",
"Vale.PPC64LE.Decls.fsti.checked",
"Vale.Poly1305.Math.fsti.checked",
"Vale.Math.Poly2_s.fsti.checked",
"Vale.Math.Poly2.Words.fsti.checked",
"Vale.Math.Poly2.Lemmas.fsti.checked",
"Vale.Math.Poly2.Bits_s.fsti.checked",
"Vale.Math.Poly2.Bits.fsti.checked",
"Vale.Math.Poly2.fsti.checked",
"Vale.Def.Words_s.fsti.checked",
"Vale.Def.Types_s.fst.checked",
"Vale.Def.Prop_s.fst.checked",
"Vale.Def.Opaque_s.fsti.checked",
"Vale.Arch.TypesNative.fsti.checked",
"Vale.Arch.Types.fsti.checked",
"Vale.Arch.HeapImpl.fsti.checked",
"Vale.AES.Types_helpers.fsti.checked",
"Vale.AES.PPC64LE.PolyOps.fsti.checked",
"Vale.AES.PPC64LE.GF128_Mul.fsti.checked",
"Vale.AES.GHash_BE.fsti.checked",
"Vale.AES.GF128_s.fsti.checked",
"Vale.AES.GF128.fsti.checked",
"Vale.AES.GCTR_BE_s.fst.checked",
"Vale.AES.GCTR_BE.fsti.checked",
"Vale.AES.GCM_helpers_BE.fsti.checked",
"Vale.AES.AES_helpers.fsti.checked",
"Vale.AES.AES_BE_s.fst.checked",
"prims.fst.checked",
"FStar.Seq.Base.fsti.checked",
"FStar.Seq.fst.checked",
"FStar.Pervasives.Native.fst.checked",
"FStar.Pervasives.fsti.checked"
],
"interface_file": true,
"source_file": "Vale.AES.PPC64LE.GHash.fst"
} | [
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math // For lemma_poly_bits64()",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GHash_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GF128_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Lemmas",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2.Bits_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Math.Poly2_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.GF128_Mul",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE.PolyOps",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.TypesNative",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCTR_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.GCM_helpers_BE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Poly1305.Math",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_helpers",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCodes",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.QuickCode",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsVector",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsMem",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.InsBasic",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Decls",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.State",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Memory",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.PPC64LE.Machine_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.AES_BE_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.HeapImpl",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Arch.Types",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Seq",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Types_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Words_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Opaque_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.Def.Prop_s",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "Vale.AES.PPC64LE",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar.Pervasives",
"short_module": null
},
{
"abbrev": false,
"full_module": "Prims",
"short_module": null
},
{
"abbrev": false,
"full_module": "FStar",
"short_module": null
}
] | {
"detail_errors": false,
"detail_hint_replay": false,
"initial_fuel": 2,
"initial_ifuel": 0,
"max_fuel": 1,
"max_ifuel": 1,
"no_plugins": false,
"no_smt": false,
"no_tactics": false,
"quake_hi": 1,
"quake_keep": false,
"quake_lo": 1,
"retry": false,
"reuse_hint_for": null,
"smtencoding_elim_box": true,
"smtencoding_l_arith_repr": "native",
"smtencoding_nl_arith_repr": "wrapped",
"smtencoding_valid_elim": false,
"smtencoding_valid_intro": true,
"tcnorm": true,
"trivial_pre_for_unannotated_effectful_fns": false,
"z3cliopt": [
"smt.arith.nl=false",
"smt.QI.EAGER_THRESHOLD=100",
"smt.CASE_SPLIT=3"
],
"z3refresh": false,
"z3rlimit": 50,
"z3rlimit_factor": 1,
"z3seed": 0,
"z3smtopt": [],
"z3version": "4.8.5"
} | false |
va_mods: Vale.PPC64LE.QuickCode.va_mods_t ->
hkeys_b: Vale.PPC64LE.Memory.buffer128 ->
in_b: Vale.PPC64LE.Memory.buffer128 ->
h_BE: Vale.PPC64LE.Memory.quad32 ->
y_prev: Vale.PPC64LE.Memory.quad32
-> Vale.PPC64LE.QuickCode.va_quickCode Prims.unit (Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer ()) | Prims.Tot | [
"total"
] | [] | [
"Vale.PPC64LE.QuickCode.va_mods_t",
"Vale.PPC64LE.Memory.buffer128",
"Vale.PPC64LE.Memory.quad32",
"Vale.PPC64LE.QuickCodes.qblock",
"Prims.unit",
"Prims.Cons",
"Vale.PPC64LE.Decls.va_code",
"Vale.PPC64LE.InsBasic.va_code_LoadImm64",
"Vale.PPC64LE.Decls.va_op_reg_opr_reg",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer",
"Vale.PPC64LE.Decls.va_op_heaplet_mem_heaplet",
"Vale.PPC64LE.Decls.va_op_vec_opr_vec",
"Vale.Arch.HeapTypes_s.Secret",
"Vale.PPC64LE.InsVector.va_code_Load128_byte16_buffer_index",
"Vale.PPC64LE.InsVector.va_code_Vspltisw",
"Vale.AES.PPC64LE.PolyOps.va_code_VSwap",
"Vale.AES.PPC64LE.GF128_Mul.va_code_High64ToLow",
"Vale.AES.PPC64LE.GF128_Mul.va_code_Low64ToHigh",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer_while0",
"Vale.PPC64LE.Machine_s.IfElse",
"Vale.PPC64LE.Decls.ins",
"Vale.PPC64LE.Decls.ocmp",
"Vale.PPC64LE.QuickCodes.cmp_to_ocmp",
"Vale.PPC64LE.QuickCodes.Cmp_gt",
"Vale.PPC64LE.Decls.va_op_cmp_reg",
"Vale.PPC64LE.Decls.va_const_cmp",
"Vale.PPC64LE.QuickCodes.block",
"Vale.PPC64LE.Machine_s.Block",
"Prims.Nil",
"Vale.PPC64LE.Machine_s.precode",
"Vale.AES.PPC64LE.GHash.va_code_GhashUnroll_n",
"Vale.PPC64LE.Decls.va_state",
"Vale.PPC64LE.QuickCodes.va_QSeq",
"Vale.PPC64LE.QuickCodes.va_range1",
"Vale.PPC64LE.InsBasic.va_quick_LoadImm64",
"Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer",
"Vale.PPC64LE.InsVector.va_quick_Load128_byte16_buffer_index",
"Vale.PPC64LE.InsVector.va_quick_Vspltisw",
"Vale.PPC64LE.QuickCodes.va_QBind",
"Vale.AES.PPC64LE.PolyOps.va_quick_VSwap",
"Vale.PPC64LE.QuickCodes.va_qPURE",
"Prims.pure_post",
"Prims.l_and",
"Prims.b2t",
"Prims.op_LessThanOrEqual",
"Vale.Math.Poly2_s.degree",
"Prims.l_Forall",
"Prims.l_imp",
"Prims.eq2",
"Vale.Math.Poly2_s.poly",
"Vale.Math.Poly2.Bits_s.of_double32",
"Vale.Arch.Types.quad32_double_lo",
"Vale.Math.Poly2.Bits_s.to_quad32",
"Vale.Math.Poly2_s.mod",
"Vale.Math.Poly2_s.monomial",
"Vale.Arch.Types.quad32_double_hi",
"Vale.Math.Poly2_s.div",
"Vale.Math.Poly2_s.add",
"Vale.Math.Poly2_s.mul",
"Vale.Math.Poly2_s.shift",
"Vale.Math.Poly2.Bits.lemma_quad32_double",
"Vale.Def.Words_s.nat32",
"Vale.Def.Words_s.four",
"Vale.Math.Poly2.swap",
"Vale.Def.Words_s.Mkfour",
"Prims.logical",
"Vale.Math.Poly2.Words.lemma_quad32_double_swap",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_High64ToLow",
"Vale.AES.GHash_BE.gf128_power",
"Vale.AES.PPC64LE.GF128_Mul.va_quick_Low64ToHigh",
"Prims.op_LessThan",
"Vale.Math.Poly2.Bits_s.of_quad32",
"Vale.Math.Poly2.Bits.lemma_of_to_quad32",
"Prims.nat",
"Vale.AES.PPC64LE.GHash.va_quick_Ghash_buffer_while0",
"Vale.PPC64LE.QuickCodes.va_qIf",
"Vale.PPC64LE.QuickCodes.va_qAssertSquash",
"Prims.op_AmpAmp",
"FStar.Seq.Base.length",
"Vale.Def.Types_s.quad32",
"Vale.Arch.Types.reverse_bytes_quad32_seq",
"Vale.PPC64LE.Decls.s128",
"Vale.PPC64LE.Decls.va_get_mem_heaplet",
"Vale.PPC64LE.Decls.va_get_reg",
"Prims.squash",
"Vale.AES.PPC64LE.GHash.va_quick_GhashUnroll_n",
"Prims.op_Equality",
"Vale.AES.GHash_BE.ghash_incremental0",
"FStar.Seq.Base.op_At_Bar",
"Vale.AES.GHash_BE.lemma_ghash_incremental0_append",
"Vale.PPC64LE.QuickCodes.va_qAssert",
"FStar.Seq.Base.equal",
"FStar.Seq.Base.append",
"FStar.Seq.Base.slice",
"Vale.PPC64LE.QuickCodes.va_QEmpty",
"Vale.PPC64LE.QuickCodes.quickCodes",
"Vale.PPC64LE.Decls.va_get_vec",
"FStar.Seq.Base.seq",
"Vale.PPC64LE.Machine_s.state",
"Vale.PPC64LE.QuickCode.va_quickCode",
"Vale.AES.PPC64LE.GHash.va_code_Ghash_buffer"
] | [] | false | false | false | false | false | let va_qcode_Ghash_buffer (va_mods: va_mods_t) (hkeys_b in_b: buffer128) (h_BE y_prev: quad32)
: (va_quickCode unit (va_code_Ghash_buffer ())) =
| (qblock va_mods
(fun (va_s: va_state) ->
let va_old_s:va_state = va_s in
let h:poly = Vale.Math.Poly2.Bits_s.of_quad32 h_BE in
va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 548 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_LoadImm64 (va_op_reg_opr_reg 10) 16)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 549 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 5)
(va_op_reg_opr_reg 5)
Secret
hkeys_b
0)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 550 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Load128_byte16_buffer_index (va_op_heaplet_mem_heaplet 0)
(va_op_vec_opr_vec 12)
(va_op_reg_opr_reg 5)
(va_op_reg_opr_reg 10)
Secret
hkeys_b
1)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 551 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Vspltisw (va_op_vec_opr_vec 0) 0)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 553 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 5) (va_op_vec_opr_vec 5))
(fun (va_s: va_state) _ ->
let va_arg61:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 554 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) -> Vale.Math.Poly2.Bits.lemma_quad32_double va_arg61)
(let va_arg60:Vale.Math.Poly2_s.poly =
Vale.AES.GHash_BE.gf128_power h 1
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 555 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Words.lemma_quad32_double_swap va_arg60)
(let va_arg59:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power h 1) 64
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 556 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_quad32_double va_arg59)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 557 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow (va_op_vec_opr_vec 7)
(va_op_vec_opr_vec 5)
(Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power
h
1)
64))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 558 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh (va_op_vec_opr_vec 6)
(va_op_vec_opr_vec 5)
(Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power
h
1)
64))
(fun (va_s: va_state) _ ->
let va_arg58:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.mod (Vale.AES.GHash_BE.gf128_power
h
1)
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 559 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_of_to_quad32 va_arg58
)
(let va_arg57:Vale.Math.Poly2_s.poly =
Vale.Math.Poly2_s.mul (Vale.Math.Poly2_s.div
(Vale.AES.GHash_BE.gf128_power h 1)
(Vale.Math.Poly2_s.monomial 64))
(Vale.Math.Poly2_s.monomial 64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 560 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
va_arg57)
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 562 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_VSwap (va_op_vec_opr_vec 12)
(va_op_vec_opr_vec 12))
(fun (va_s: va_state) _ ->
let va_arg56:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power h
2
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 563 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_quad32_double
va_arg56)
(let va_arg55:Vale.Math.Poly2_s.poly
=
Vale.AES.GHash_BE.gf128_power
h
2
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 564 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Words.lemma_quad32_double_swap
va_arg55)
(let va_arg54:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2.swap (Vale.AES.GHash_BE.gf128_power
h
2)
64
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 565 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun (_: unit) ->
Vale.Math.Poly2.Bits.lemma_quad32_double
va_arg54)
(va_QSeq va_range1
"***** PRECONDITION NOT MET AT line 566 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_High64ToLow
(va_op_vec_opr_vec
14)
(va_op_vec_opr_vec
12)
(Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power
h
2)
64))
(va_QBind va_range1
"***** PRECONDITION NOT MET AT line 567 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Low64ToHigh
(va_op_vec_opr_vec
13)
(va_op_vec_opr_vec
12)
(Vale.Math.Poly2.swap
(Vale.AES.GHash_BE.gf128_power
h
2)
64))
(fun
(va_s:
va_state)
_
->
let va_arg53:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mod
(Vale.AES.GHash_BE.gf128_power
h
2)
(Vale.Math.Poly2_s.monomial
64)
in
va_qPURE va_range1
"***** PRECONDITION NOT MET AT line 568 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun
(_:
unit
)
->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
va_arg53
)
(let
va_arg52:Vale.Math.Poly2_s.poly
=
Vale.Math.Poly2_s.mul
(Vale.Math.Poly2_s.div
(
Vale.AES.GHash_BE.gf128_power
h
2
)
(
Vale.Math.Poly2_s.monomial
64
)
)
(Vale.Math.Poly2_s.monomial
64
)
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 569 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(fun
(_:
unit
)
->
Vale.Math.Poly2.Bits.lemma_of_to_quad32
va_arg52
)
(let
index:nat
=
0
in
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 572 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(va_quick_Ghash_buffer_while0
va_old_s
h
h_BE
in_b
y_prev
index
)
(fun
(
va_s:
va_state
)
index
->
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 600 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_qIf
va_mods
(
Cmp_gt
(
va_op_cmp_reg
6
)
(
va_const_cmp
0
)
)
(
qblock
va_mods
(
fun
(
va_s:
va_state
)
->
va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 601 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
(
fun
a_1906
(
s_1907:
(
FStar.Seq.Base.seq
a_1906
)
)
(
i_1908:
Prims.nat
)
(
j_1909:
Prims.nat
)
->
let
j_1869:Prims.nat
=
j_1909
in
Prims.b2t
(
Prims.op_AmpAmp
(
Prims.op_LessThanOrEqual
i_1908
j_1869
)
(
Prims.op_LessThanOrEqual
j_1869
(
FStar.Seq.Base.length
#a_1906
s_1907
)
)
)
)
Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
index
(
va_get_reg
6
va_old_s
)
)
(
fun
_
->
let
data:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
index
(
va_get_reg
6
va_old_s
)
in
let
y_loop:quad32
=
va_get_vec
1
va_s
in
va_QBind
va_range1
"***** PRECONDITION NOT MET AT line 604 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
va_quick_GhashUnroll_n
false
in_b
index
h_BE
y_loop
data
)
(
fun
(
va_s:
va_state
)
_
->
va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
(
fun
a_1906
(
s_1907:
(
FStar.Seq.Base.seq
a_1906
)
)
(
i_1908:
Prims.nat
)
(
j_1909:
Prims.nat
)
->
let
j_1869:Prims.nat
=
j_1909
in
Prims.b2t
(
Prims.op_AmpAmp
(
Prims.op_LessThanOrEqual
i_1908
j_1869
)
(
Prims.op_LessThanOrEqual
j_1869
(
FStar.Seq.Base.length
#a_1906
s_1907
)
)
)
)
Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
0
index
)
(
fun
_
->
let
va_arg51:(
FStar.Seq.Base.seq
Vale.Def.Types_s.quad32
)
=
FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
0
index
in
let
va_arg50:Vale.Def.Types_s.quad32
=
va_get_vec
1
va_s
in
let
va_arg49:Vale.Def.Types_s.quad32
=
y_loop
in
let
va_arg48:Vale.Def.Types_s.quad32
=
y_prev
in
let
va_arg47:Vale.Def.Types_s.quad32
=
h_BE
in
va_qPURE
va_range1
"***** PRECONDITION NOT MET AT line 605 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
fun
(
_:
unit
)
->
Vale.AES.GHash_BE.lemma_ghash_incremental0_append
va_arg47
va_arg48
va_arg49
va_arg50
va_arg51
data
)
(
va_qAssertSquash
va_range1
"***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
(
fun
a_1906
(
s_1907:
(
FStar.Seq.Base.seq
a_1906
)
)
(
i_1908:
Prims.nat
)
(
j_1909:
Prims.nat
)
->
let
j_1869:Prims.nat
=
j_1909
in
Prims.b2t
(
Prims.op_AmpAmp
(
Prims.op_LessThanOrEqual
i_1908
j_1869
)
(
Prims.op_LessThanOrEqual
j_1869
(
FStar.Seq.Base.length
#a_1906
s_1907
)
)
)
)
Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
0
index
)
(
fun
_
->
va_qAssert
va_range1
"***** PRECONDITION NOT MET AT line 607 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/ppc64le/Vale.AES.PPC64LE.GHash.vaf *****"
(
FStar.Seq.Base.equal
#Vale.Def.Types_s.quad32
(
FStar.Seq.Base.append
#Vale.Def.Types_s.quad32
(
FStar.Seq.Base.slice
#Vale.Def.Types_s.quad32
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
0
index
)
data
)
(
Vale.Arch.Types.reverse_bytes_quad32_seq
(
Vale.PPC64LE.Decls.s128
(
va_get_mem_heaplet
1
va_s
)
in_b
)
)
)
(
va_QEmpty
(
()
)
)
)
)
)
)
)
)
)
(
qblock
va_mods
(
fun
(
va_s:
va_state
)
->
va_QEmpty
(
()
)
)
)
)
(
fun
(
va_s:
va_state
)
va_g
->
va_QEmpty
(
()
)
)
))
))))))))))
))))))))))) | false |
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